Find the equation (in terms of x) of the line through the points (-4,-1) and (3,-2)

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

(-4,-1), (3,-2)

The slope is -1/7.

The y-intercept is approximately -1.5.

y=mx+b is the equation for standard slope-intercept form, with m being slope and b being y-intercept.

y=-1/7x-1.5

-hope it helps


Related Questions

Find the vertex, the equation of the axis of symmetry, and the y-intercept of each function.
7) y = -2x-4x+5

Answers

Answer:

Vertex: (-1,7)

Equation of the axis of symmetry: x = -1

y-intercept: (0, 5)

Step-by-step explanation:

I will assume that the function is quadratic where it is supposed to be y = -2x² - 4x + 5.

The standard form of quadratic functions can be written as

y = ax² + bx + c

To find the vertex of this function, we need the axis of symmetry (aos).

aos = - b/2a

      = - ( -4/-4)

      = - 1

Axis of symmetry: x = -1

For the vertex, simply plug in the aos into the function.

f(x) = -2x² - 4x + 5

f(-1) = -2(-1)² -4(-1) + 5

     = -2 + 4 + 5

     = 7

Vertex: (-1, 7)

Now the y-intercept is the easiest part, since the function is written in standard form. When it is, the y-intercept is always (0, c), which in this case is (0, 5).

y-intercept: (0,5)

its 2.2 km from charlie's house to the nearest mailbox. how far is it in meters

Answers

Answer:

2200

Step-by-step explanation:

Kilo means 1000, so kilometers are 1000 meters, therefore 2.2 kilometers = 2200 meters.

Answer: 2,200

Step-by-step explanation:

Multiply 2.2 with 1,000 because the km to meters conversion is 1,000.

Reflect the given triangle over the line y= -x
[0 7 -1]
[0 -3 -4]​

Answers

Answer:

9514 1404 393

Answer:

[ 0 -3 4 ]

[ 0 -7 1 ]

 

Step-by-step explanation:

Reflection over the line y=-x swaps the coefficients and negates both of them.

 (x, y) ⇒ (-y, -x)

Dont take my word for it ...

 

Answer: 0 3 4

0 -7 1

Step-by-step explanation:

What are the effects of low‑fat food labels on food consumption? Do people eat more of a snack food when the food is labeled as low‑fat? The answer may depend both on whether the snack food is labeled low‑fat and whether the label includes serving‑size information. An experiment investigated this question using university staff, graduate students, and undergraduate students at a large university as subjects. Subjects were asked to evaluate a pilot episode for an upcoming TV show in a theater on campus and were given a cold 24‑ounce bottle of water and a bag of granola from a respected campus restaurant called The Spice Box. They were told to enjoy as much or as little of the granola as they wanted. Depending on the condition randomly assigned to the subjects, the granola was labeled as either "Regular Rocky Mountain Granola" or "Low‑Fat Rocky Mountain Granola." Below this, the label indicated "Contains 1 Serving" or "Contains 2 Servings" or it provided no serving‑size information. Twenty subjects were assigned to each treatment, and their granola bags were weighed at the end of the session to determine how much granola was eaten. (a) How many factors and treatments are there?

Answers

Answer:

There are six factors and two treatments.

Step-by-step explanation:

We can make this conclusion because treatments in experimentation refer to something that researchers use or administer to their subjects, while factors simply refer to the category of treatments; in other words, the number of various types of treatments.

Remember, the researchers stated that "the condition [treatments] randomly assigned to the subjects",  is that the granola was labeled as either "Regular Rocky Mountain Granola" or "Low‑Fat Rocky Mountain Granola," which shows that the treatments are two (Rocky Mountain Granola and Low‑Fat Rocky Mountain Granola). Summing the factors (various types/categories of treatments) gives us six factors.

Question 8 (Essay Worth 2 points)
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending.

Complete the following table:

Number of friends (f) 5 10 15 20
Cost of party (c) 100 200 300 400

Plots the points from the table onto the graph.

Answers

No fixed entry fee

Cost is 20$ per person

If no of persons be x

The expression is

y=20x

Verification:-

100=5(20)=100

Hence verified

Answer:

Let f be the number of friends

Let c be the cost of the party

As (f) is the independent variable, the number of friends will be along the x-axis.

As (c) is the dependent variable, the cost of the party will be along the y-axis.

If the cost of the party is $20 per person, then the equation to represent the relationship is:

c = 20 f

**see attached graph complete with plotted points**

what is the mode of the following data 1,2,1,1,3,2,2,2​

Answers

Answer:

2

Step-by-step explanation:

the mode is the one that appears the most, most common one

Answer:

2

Step-by-step explanation:

mode means the most common number in the set.

I hope this helps....


You play a gambling game with a friend in which you roll a die. If a 1 or 2 comes up, you win $6. How much should you lose on any other outcome in order to make this a fair game?
$

Answers

Answer:

every other roll should make u lose $3

Solve 2/5x-1/5>1 x>? pls help I'm timed!!​

Answers

Answer:

[tex]2/5x-1/5>1 x>[/tex]

= [tex]\:x<-\frac{1}{3}\:[/tex]

write the EQ of circle i find center and radius given
x² + y²-4x+12y =-4

Answers

Answer:

CENTER :(2,-6)

RADIUS: 6

FOLLOW ME❤️✨FOR M0RE QUESTION

THAT YOU WHAT ME TO ANSWER

Step-by-step explanation:

Hey there!

Given;

[tex] {x}^{2} + {y}^{2} - 4x + 12y = \: - 4[/tex]

Now, Try to make it a perfect square.

[tex] {x}^{2} - 4x + {(2)}^{2} - ( { 2)}^{2} + {y}^{2} + 12y + ( {6)}^{2} - ( {6)}^{2} = - 4 [/tex]

Make perfect square and shift -(2)^2 and -(6)^2 on right side.

[tex]( {x - 2)}^{2} ( {y + 6)}^{2} = - 4 + 40[/tex]

[tex]( {x - 2)}^{2} ( {y + 6)}^{2} = 36[/tex]

Comparing the equation with (x-h)^2(y-h)^2= r^2.

We get,

Centre (h,k)= (2,-6)

Radius (r) = 6

Hope it helps...

You earned 24 out of 30 on your math test. What was your percentage of correct answers on the test?

Answers

Answer:

80%

Step-by-step explanation:

GIven:

You earned 24 out of 30 on your math test. What was your percentage of correct answers on the test?

Solve:

 24/30 x 100

0.8 x 100

80%

Hence, the percentage of correct answers on the test.

~Lenvy~

Ms. Heinz spent 12 dollars on 30 bus tokens for
the field trip. What was the cost of 12 tokens

Answers

Answer:

4.8

Step-by-step explanation:

Firstly, you take the ratio 12d/30t(d=dollars, t=tokens). And you switch it to (unknown)d/30t. And if you execute the formula(12 * 12 / 30) you get 4.8.

hope i helped

Use the multiplication property of inequality to solve the inequality and graph the solution set on a number line.
Find the solution set.
-4x≥12

Answers

The solution is x ≤ -3

Please help with this!
I will need a clear explanation!

Answers

Willy can cover in 1L paint

[tex]\\ \rm\rightarrowtail \dfrac{13.5}{3}=4.5m^2[/tex]

1st box should be filled with 4.5

Can cover in 10L

[tex]\\ \rm\rightarrowtail 4.5(10)=45m^2[/tex]

Second one should be filled with 45

Answer:

4.5 : 1

45 : 10

Step-by-step explanation:

Given ratio:  13.5 : 3

To calculate equivalent ratios, we need to do the same operation to both sides of the ratio.

To reduce 3 L of paint to 1 L of paint, we need to divide by 3.

Therefore, we should also divide 13.5 by 3:

13.5 ÷ 3 : 3 ÷ 3

= 4.5 : 1

To increase 1 L of paint to 10 L of paint, we need to multiply by 10:

4.5 × 10 : 1 × 10

= 45 : 10

In a short story, a scientist spends decades working to genetically engineer a
chimpanzee that can produce human speech. Her eventual success reveals
that animals of all kinds are far smarter and more perceptive than we had
ever realized. In the end, the chimpanzee is
released into the wild and the
scientist's work erased because humans are not comfortable with this
knowledge.
What are two common literary themes that this story most clearly shows?
• A. The determination to succeed and the acceptance of failure
• B. The domination of man over nature and unrealized dreams
• C. The complexity of nature and the security of ignorance
• D. The power of
science and the evil of humankind

Answers

Answer:

C

Step-by-step explanation:

it’s just unnatural for a wild animal to give a speech. The security of ignorance is when humans are uncomfortable with it.

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Triangle ABC has vertices A(−2,10) , B(4,8) , and C(2,4) .


What are the coordinates of A′B′C′ after triangle ABC has undergone the following transformation?


rotation 90° clockwise about the origin


Enter your answers, as ordered pairs (x, y) , in the boxes.

A′=

B′=

C′=

Answers

A'=(10,2)

B'=(8,-4)

C'=(4,-2)

To rotate a point 90° clockwise about the origin,

The new coordinates become (y,-x)

So the first one was A(-2,10)

x=-2 & y=10

The new coordinates become A'(y,-x)

So y=10 and -x=-(-2)=2

A'(10,2)

Answer:

A' =(2,4)

B'=(8,2)

C′=(6,-2)

A biologist was doing an experiment with plants. The shortest plant measured 13 feet. The tallest plant measured 1.45 feet. Drag all measurements into the box that are between the heights of the two plants.
1.2 feet
1.4 feet
1.31 feet
1.03 feet
1.44 feet
1.5 feet​
help I will follow and give BRAINLIEST

Answers

The measurements that will be dragged into the box is 1.4 feet, 1.31 feet, 1.44 feet.

The rest of the measurement wouldn't be within the bounds and thus will not be dragged in.

(−2/3)(1/6) I need to know how to do fraction accurately

Answers

Answer && Step-by-step explanation:

Simple.

- 2/3  1/6 line up together, we already know end result is neg since only one neg sign

2*1 = 2

6*3 == 18

ans == -2/18

By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one month, you spent 290 minutes on the phone, and paid $22.25. In another month, you spent 360 minutes on the phone, and paid $24.00.
Let x be the number of minutes you talk over the phone in a month, and let y be your cell phone bill for that month. Use a linear equation to model your monthly bill based on the number of minutes you talk over the phone.
a. This linear model's slope-intercept equation is_____________.
b. If you spent 140 minutes over the phone in a month, you would pay________________ .
c. If in a month, you paid $26.25 of cell phone bill, you must have spent ______________minutes on the phone in that month.

Answers

Answer:

(a) [tex]y = 0.025x+15[/tex]

(b) 18.5 minutes

(c) 450.4 minutes

Step-by-step explanation:

Given

[tex]290\ minutes = \$22.25[/tex]

[tex]360\ minutes = \$24.00[/tex]

Solving (a): Determine the linear equation

First, we need to calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (290,22.25)[/tex]

[tex](x_2,y_2) = (360,24.00)[/tex]

So, we have:

[tex]m = \frac{24.00 - 22.25}{360 - 290}[/tex]

[tex]m = \frac{1.75}{70}[/tex]

Multiply through by 100

[tex]m = \frac{1.75 * 100}{70 * 100}[/tex]

[tex]m = \frac{175}{7000}[/tex]

Next, is to calculate the equation of the line using:

[tex]y - y_1 = m(x - x_1)[/tex]

Recall that:

[tex](x_1,y_1) = (290,22.25)[/tex]

[tex]m = \frac{175}{7000}[/tex]

[tex]y - 22.25 = \frac{175}{7000}(x - 290)[/tex]

[tex]y - 22.25 = \frac{175x}{7000} - \frac{175}{7000} * 290[/tex]

[tex]y - 22.25 = \frac{175x}{7000} - \frac{50750}{7000}[/tex]

Add 22.25 to both sides

[tex]y = \frac{175x}{7000} - \frac{5075}{700} + 22.25[/tex]

[tex]y = \frac{175x}{7000} + \frac{-5075 + 15575}{700}[/tex]

[tex]y = \frac{175x}{7000} + \frac{10500}{700}[/tex]

[tex]y = 0.025x+15[/tex]

(b) Solve for y when x = 140

[tex]y = 0.025x+15[/tex]

Substitute 140 for x

[tex]y = 0.025 * 140 + 15[/tex]

[tex]y = 3.5 + 15[/tex]

[tex]y = 18.5[/tex]

(c) Solve for x when y = 26.25

[tex]y = 0.025x+15[/tex]

Substitute 26.25 for y

[tex]26.25 = 0.025x + 15[/tex]

Solve for 0.025x

[tex]0.025x = 26.26 - 15[/tex]

[tex]0.025x = 11.26[/tex]

Solve for x

[tex]x = 11.26/0.025[/tex]

[tex]x = 450.4\ minutes[/tex]

Researchers for a local marketing firm have a sample size of 24 , and they are using the Student's t-distribution. What are the degrees of freedom and how would they notate this distribution

Answers

Answer:

df=23, T∼t23

Step-by-step explanation:

The degrees of freedom would be calculated as df = n-1 = 24-1 = 23, and the distribution notation would be T∼t23 from the degrees of freedom.

Help me with this pls

Answers

Answer:

C. 72

Step-by-step explanation:

The whole angle measures 106 degrees as mentioned on top and we know that angle HFG is 34 degrees because it says so in that angle. Just do this: 106-34. The answer is 72. We subtract because we're finding the remaining/missing number in this problem. If you want to check if your answer is correct, you can add 72 and 34.

Another way you could do this is by just adding each option with 34 to see if you get a total of 106.

It takes the window washing crew 15 minutes to wash 18 windows. Based on this, how long does it take them to wash all 24,348 windows?

Answers

Answer:

Step-by-step explanation:

34321.2 min

Step-by-step explanation:

The Burj Khalifa has in total 28601 windows. On the other hand, we are told the window-washing crew can wash 15 windows in 18 minutes. So, we can use the Rule of three to solve this problem:

If:

15 windows ---- 18 min

28601 windows ---- ?

Then:

? = (28601windows)(18min)/15windows

? = 34321.2min

To wash all 24,348 windows the washing crew needs 20290 minutes.

What is unitary method ?

Unitary method a tool for first determining the value of a single unit from there we can find values of any given unit.If we multiply the value of single unit with the give data we can obtain our result.

According to the given question It takes the window washing crew 15 minutes to wash 18 windows.

∴ To wash 1 window by the window washing crew is

= 15/18 minutes.

= 5/6 minutes.

So, To wash 24348 windows the time required is

= (5/6)×24348 minutes.

= 20290 minutes.

learn more about unitary method here :

https://brainly.com/question/23423168

#SPJ2

Light travels at a speed of 1.9 times 10^5 miles per second. How far in miles does light travel in 30 seconds?

Answers

Answer:

5,700,000 miles

Step-by-step explanation:

[tex](1.9*10^{5})*30\\ \\190,000*30\\\\=5,700,000[/tex]

26. Which of the following DO NOT illustrates independent events?

A. Landing on heads after tossing a coin and rolling a 5 on a single 6-sided die.
B. Choosing a marble from a jar and landing on heads after tossing a coin.
C. Rolling a die and getting an even number.
D. Choosing a 3 from a deck of cards, replacing it and then choosing an ace as the second card.​

Answers

Answer:

  C. obtaining an even number when rolling a die

Step-by-step explanation:

Two events are independent when neither depends on the other. That is, the probability that one occurs is not affected by the occurrence, or lack of occurrence, of the other event. Their joint probability is the product of their individual probabilities.

__

Among the answer choices, all describe two independent events except C. Choice C describes one (1) event, so does NOT illustrate independent events.

Convert 64 quarts to gallons

Answers

Answer:

16 gallons

Step-by-step explanation:

Since 4 quarts is equal to a gallon, you should divide 64 quarts by 4 to get 16 gallons

Answer:

Containing in one gallon, there is 4 quarts.

I like to order my units preferably so I can understand better;

QUARTS           4     (x16)   64

________ = ______ = ______ so x = 16

GALLONS          1     (x16)     x

The value of y is directly proportional to the value of x. If y =
60 when x = 240, what is the value of y when x = 100?

Answers

Answer:

25

Step-by-step explanation:

Since y= 60 when x=240 it would be 0.25 and 0.25 x100 would be 25

which would be the right one????

Answers

B would be the right one

Three times a number decreased by 9

Answers

Answer:

I do not know what you want, but the equation is 3x - 9

Step-by-step explanation:

Answer:

3a - 9

Step-by-step explanation:

Three times a number decreased by 9:

3a - 9

Which of the following is the equation of a nonlinear function?
A. y = 25
B. y = x −
C. y = 10x
D. y = x 2 + 15

Answers

Answer:

A

Step-by-step explanation:

y = 25 is a zero slope function and is also not in the form of y=mx+b, unlike the others.

The answer to this question is D

What is P44 ? 16 24 4 1

Answers

Answer:

Page 44? you mean

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

i just took the test

what is the absolute value of -4.5

Answers

Answer:4.5

Step-by-step explanation:

Answer:

Absolute value means any value but always positive. So |-4.5|=4.5

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