Write an equation of the line in slope-intercept form.

f(3)=-2, f(0)=1

Answers

Answer 1

Answer:

The equation of the line in slope-intercept form is y = -x + 1

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept ⇒ value y at x = 0

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)

f(3) = -2 is the point (3, -2)

f(0) = 1 is the point (0, 1)

∴ x1 = 3 and y1 = -2

∴ x2 = 0 and y2 = 1

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{1--2}{0-3}[/tex] = [tex]\frac{1+2}{-3}[/tex] = [tex]\frac{3}{-3}[/tex]

m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is the value of y at x = 0

∵ at x = 0, y = 1

b = 1

∴ y = -x + 1

The equation of the line in slope-intercept form is y = -x + 1


Related Questions

A squirrel collected 45 acorns for winter and can hide 4 acorns in a single hole. How many holes will the squirrel need to dig to hide all the acorns?

Answers

Answer:

the squirrel needs to dig 12 holes.

Step-by-step explanation:

11 x 4 = 44, plus an extra hole for the one acorn left over.

Answer:
11.25 or 11 1/4

whichever answer depends on the rest of your answers, have you been using decimals or fractions?

if you’re using fractions, the answer is 11 1/4

if you’re using decimals, it’s 11.25

I WILL MARK YOU AS BRANLIEST JUST DO THIS PLS ASAP

Edson exercises in sets that are each t minutes long. He does 6 sets of push-ups, 3 sets of pull-ups, and 4 sets of sit-ups. Write an expression to represent the time it takes Edson to exercise as the sum of three different terms. Then simplify the expression.

Answers

Answer:

(6t) + (3t) + (4t)

Simplified it would be 13t

Please help I will mark brainliest

Answers

C. 3.50 W

Hope this helps you out with your homework!

Answer: C

Step-by-step explanation:

$3.50/lb is the unit weight. Since your # of lbs is x it would be 3.50x. Simple

Have a nice day :)

Myra is putting together a puzzle such that every 5 days she places one quarter of the remaining pieces into the puzzle. If she started with a 800 piece puzzle, how many pieces are left to be placed after 23 days? Show the work that leads to your answer

Answers

Given:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

To find:

The number of remaining pieces after 23 days.

Solution:

Initial number of pieces Myra have = 800.

Every 5 days she places one quarter of the remaining pieces into the puzzle.

It means, she will place the puzzles on 5,10,15,20,25,.. days. she will place the puzzle 4 times before 23 days.

The number of remaining pieces decreasing by [tex]\dfrac{1}{4}[/tex].

Formula for number of remaining pieces is

[tex]y=a_0(1-r)^t[/tex]

where, [tex]a_0[/tex] is the initial value, r is decreasing rate and t is time.

Putting [tex]a_0=800,r=\dfrac{1}{4}[/tex] and t=4, we get

[tex]y=800(1-\dfrac{1}{4})^4[/tex]

[tex]y=800(\dfrac{3}{4})^4[/tex]

[tex]y=800(0.75)^4[/tex]

[tex]y=800(0.31640625 )[/tex]

[tex]y=253.125[/tex]

Approximate the value to the nearest whole number.

[tex]y\approx 253[/tex]

Therefore, the number of remaining  pieces is 253.

5 times w increased by 4 is 2 times u.
(i don’t understand function rules)
will give brainliest

Answers

Answer:

5w + 4 = 2u

Step-by-step explanation:

If your problem is putting that statement into number form, then that'll be your answer

-5x-4y=10
y intersect: (____ ; ____)
x intersect: (____; _____)
see picture above. dont answer if u dont know. first gets marked brainliest!!

Answers

Answer:

y intercept = [tex](0, ~-\frac{5}{2} )[/tex]

x intercept = [tex](-2, ~0)[/tex]

.

Step-by-step explanation:

[tex]-5x - 5y = 10[/tex]

.

y intercept

[tex]\to x = 0[/tex]

[tex]-5(0) - 4y = 10[/tex]

[tex]-4y = 10[/tex]

[tex]y = \frac{10}{-4}[/tex]

[tex]y = -\frac{5}{2}[/tex]

so, the answer is [tex](0, ~-\frac{5}{2} )[/tex]

.

x intercept

[tex]\to y = 0[/tex]

[tex]-5x - 4(0) = 10[/tex]

[tex]-5x = 10[/tex]

[tex]x = \frac{10}{-5}[/tex]

[tex]x = -2[/tex]

so, the answer is [tex](-2, ~0)[/tex]

.

Happy to help :)

Answer:

wjwjwjwjwj qjqjjw ajajwj ajajqjjq qjqjaj wjwjjw wjwjwj wjwjw

Step-by-step explanation:

bqhhq wjwjw wjwjw wjwj

make m the subject of g-3m=am+5​

Answers

Answer:

m = (g - 5) / (a + 3)

Step-by-step explanation:

g-3m=am+5​

Get all the m's on one side.

g - 5 = am + 3m

Combine the m's into one term, using brackets

g - 5 = (a + 3)m

Get m on it's own by dividing by a + 3

(g - 5) / (a + 3) = m

Answer:

[tex]\displaystyle m=\frac{g-5}{3+a}[/tex]

Step-by-step explanation:

Equation Solving

To solve an equation for a specific variable, we perform a sequence of steps to have that variable isolated or make it the subject of the equation.

We are given the expression:

[tex]g - 3m=am+5[/tex]

And it's required to make m the subject of the equation. This means we have to isolate m at the left side of the equation.

First, multiply both sides by -1;

[tex]-g + 3m=-am-5[/tex]

Add am:

[tex]-g + 3m+am=-5[/tex]

Add g:

[tex]3m+am=-5+g[/tex]

The variable m is found in both term, thus we factor it out:

[tex]m(3+a)=g-5[/tex]

Dividing by 3+a:

[tex]\mathbm{\displaystyle m=\frac{g-5}{3+a}}[/tex]

Which Exponentail expression represents The numerical expression 1/12 . 1/12 . 1/12 . 1/12?

Answers

Answer:

1/12^4 the for is small and raised

Step-by-step explanation:

What percent is equivalent to StartFraction 3 Over 10 EndFraction? 0.3% 3% 10% 30%

Answers

Answer:

30%

Step-by-step explanation:

The answer is 0.3


Step by step.
3/10 3 tenths as a decimal would be 0.3 because the 3 is on the tenths place for a decimal. If you don’t understand please trust me and I know it’s 0.3

I'll give brainliest (; Please help tysm ❤

Answers

the answer is the last option!!

help pleaseeeeee! I need an answer quick please​

Answers

Answer:

subtraction

Step-by-step explanation:

b= 40 - 5

40- 5 =35

b=40

Answer:

addition

Step-by-step explanation:

What is the sign of \dfrac bc c b ​ start fraction, b, divided by, c, end fraction? Choose 1 answer: Choose 1 answer: (Choice A) A Positive (Choice B) B Negative (Choice C) C Zero

Answers

Answer:

A Positive

Step-by-step explanation:

If we input the fraction given to us by using the text editor, we have:

\dfrac{b}{c}

OUTPUT:

[tex]\dfrac{b}{c}[/tex]

The sign before that fraction term is known as positive.

Answer:

a. postive

Step-by-step explanation:

geometry:(

will give brainist to correct answer:)

Answers

Given:

End points a line segment are (9,-8) and (-1,-4).

To find:

The equation of perpendicular bisector of given line.

Solution:

Slope of given line is

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

[tex]m_1=\dfrac{-4-(-8)}{-1-9}[/tex]

[tex]m_1=\dfrac{-4+8}{-10}[/tex]

[tex]m_1=\dfrac{4}{-10}[/tex]

[tex]m_1=-\dfrac{2}{5}[/tex]

Product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex](-\dfrac{2}{5})\times m_2=-1[/tex]

[tex]m_2=\dfrac{5}{2}[/tex]

So, slope of perpendicular bisector is [tex]\dfrac{5}{2}[/tex].

Perpendicular bisector passes through the midpoint of given endpoints.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{9+(-1)}{2},\dfrac{(-8)+(-4)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{-12}{2}\right)[/tex]

[tex]Midpoint=\left(4,-6\right)[/tex]

So, perpendicular bisector passes through (4,-6) and having slope [tex]\dfrac{5}{2}[/tex]. The equation of perpendicular bisector is

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

where, m is slope.

[tex]y-(-6)=\dfrac{5}{2}(x-4)[/tex]

[tex]y+6=\dfrac{5}{2}(x)+\dfrac{5}{2}(-4)[/tex]

[tex]y+6=\dfrac{5}{2}x-10[/tex]

[tex]y=\dfrac{5}{2}x-10-6[/tex]

[tex]y=\dfrac{5}{2}x-16[/tex]

Therefore, the equation of perpendicular bisector is [tex]y=\dfrac{5}{2}x-16[/tex].

I Need Help Please And Thank You

Answers

C. Yes, because it passes the vertical line test.

y=2/3 x-2 on a graph line

Answers

Answer:

3,0 and 0,(-2)

Step-by-step explanation:

Find the square root.
9
25
0.12
Plz need help asap

Answers

Answer:

the square root of 9 is 3

the square root of 25 is 5

the square root of 0.12 is 0.346

Answer:

exact form is 3/5 and dcimal form is 0.6.

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of nown factors,assuming positive real numbers.

how many ventices are there in a cuboid

Answers

8

Step-by-step explanation:

By Euler's formula the numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.

Answer:

there are 8 6+8=12+2 vertices, and 12 edges

pls help meh ill give bainliest

Answers

Answer:

0.8

Step-by-step explanation:

rest all of them are 0.08

so correct answer is 0.8

hope it helps!

Answer :D

I would go with the 4th one becuase that number has diffrernt numbers then the other  ones have the same numbers.

finding centroid of triangles​

Answers

AM= 5 because it is 1/3 of AP and PM is 2/3 of AP

Given the equation y=-3x+2.5: When x is 1, what value of y makes the equation true? When x is -1.5, what value of y makes the equation true? When y is 8.5, what value of x makes the equation true?

Answers

Step-by-step explanation:

when,X=1

y=-3 *1+2.5

y=-3+2.5

y=0.5

when,X=1.5

y=-3*1.5+2.5

y=-4.5+2.5

y=-2

when,y=8.5

8.5=-3*X+2.5

3*X=2.5-8.5

3*X=-6

X=-6/2

X=-3

Hence, the statements are true:

when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]y=-3x+2.5[/tex]

So,

[tex]y=-3 (1)+2.5\\y=-3+2.5\\y=0.5\\[/tex]

When,

[tex]x=-1.5\\y=-3(1.5)+2.5\\y=-4.5+2.5\\y=-2\\[/tex]

when,

[tex]y=8.5\\8.5=-3x+2.5\\3x=2.5-8.5\\3x=-6\\x=-\frac{6}{2}\\x=-3\\[/tex]

Hence, the statements are true:

when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ6

State the domain and range of the relation below.
{(1, -2), (4, 5), (2, -4), (6,5), (2, 2)}
A domain = {1, 2, 4, 6) and range = {-4, -2, 2,5}
B domain = {-4, -2, 2, 5} and range = {1, 2, 4, 6}
c domain = {-2, 1, 2, 4, 5} and range = {-4, 2, 2, 5, 6}
D domain = {-4, 2, 2, 5, 6} and range = {-2, 1, 2, 4,5}
* need help fast *

Answers

Answer:

The answer you are looking for is A.

Step-by-step explanation:

Remember, the domain is a set of working x values or all possible inputs of a function or two variable relationship. The range is a set of working y values or all possible outputs of a function or two variable relationship. A two variable relationship with more than one output for each input will not be a function in general but will be refered to as inverse.

Now given a set of coordinates for this relation, coordinates with x and y values or inputs and outputs are generally cartesian coordinates represented by (x,y). This is so we know the working x value for each y value, also making it easier to graph it on a coordinate plane or visualize it. x = domain (input of a function) , y = range (output of a function).

All you have to do is sort the x and y values you are given from the coordinates.

For instance, (-1,2) and (4,5) : domain of -1 and 4 [the x values], range of 2, and 5 [the y values].

A number is 2 tens more than 923

Answers

Answer:

953..?

Step-by-step explanation:

946 is 2 tens more then 923

PLZZZ HELP I NEED ANSWERS FAST i will mark you

Answers

Answer:

y=-4/3x+9

and

y=4x+ 6

Step-by-step explanation:

If you drive 600 miles in 10 hours, what is your average speed? Options-
610 miles per hour
60 miles per hour
0 6,000 miles per hour
50 miles per hour. I’m so confused

Answers

60 miles per hour

Because 600 divided by 10 is 60 per 1 hour

Joshua has at most 10 dollars a cab company will charge him 4 dollars flat and a rate is 1.25 for each mile driven write and solve and inequality for the above situation

Answers

Answer:

4.8 miles

Step-by-step explanation:

First you need to figure out an equation which will be 10<or equal to 1.25m+4. In this equation m=the number of miles. Knowing this information you can now solve. You want to subtract 4 from both sides leaving you with 6 is less than or equal to 1.25m. You then divide both sides by 1.25 and you are left with 4.8 is less than or equal to m.

can you please explain this?​

Answers

Answer:

The question is giving you pairs of points in space which can be used to define lines. It is then asking you to determine if the lines defined by those points are parallel, perpendicular, or neither.

Step-by-step explanation:

Two key things you need to know to solve this is that the lines will be parallel if their slopes are the same, and perpendicular if one slope is the negative reciprocal of the other (i.e. [tex]s_{1} = -s_{2}^{-1}[/tex])

Let's start with question 11. You are given two pairs of points, each of which describes a distinct line:

(3,5)-(1,1) and (0, 2)-(5, 12)

To find the slope of each pair, take the vertex with the lesser x co-ordinate, and subtract it from the vertex with the greater x co-ordinate.  That will give us a valid Δx and Δy to get the slope.

In the first pair, 3 > 1, so we'll subtract the second point from the first:

[tex]s = \Delta y / \Delta x\\s = \frac{5 - 1}{3 - 1}\\s = 4/2\\s = 2[/tex]

So the first pair of vectors describe a line with a slope of 2.  Let's look at the other pair:

[tex]s = \Delta y / \Delta x\\s = (12 - 2) / (5 - 0)\\s = 10 / 5\\s = 2[/tex]

That also gives us a slope of 2, meaning that the two lines are parallel.

This same process will need to be done for the other three questions.  We can't answer questions 12 or 14 here, as the last point is cut off on the edge of the image.  For question 3 though, one line has a slope of 7/3, and the other 3/7. That puts them in the "neither" category, as one is not the negative reciprocal of the other, but instead the positive reciprocal.

Henry drank 2/5 of his water bottle. If he drank 3 cups of water, what was the total amount of cups of water in his water bottle? Solve with a model and a full sentence answer.

Answers

Answer:

The amount of cups of water in the water bottle is 7.5.

Step-by-step explanation:

Given that Henry drank 2/5 of his bottle of water, and those 2/5 were distributed in 3 glasses, to determine the total amount of glasses that go into the bottle it is necessary to perform the following calculation:

2/5 X = 3

1/5 X = 1.5

X = 1.5 x 5

X = 7.5

Therefore, the bottle fits 7 and a half glasses of water.

Frank and Erica are selling ribbons to raise money for the football team. The graph shows the linear relationship between the number of ribbons each of them has left to sell and the number of days that they have been selling the ribbons. On which day does it appear that frank and Erica will have the same number of ribbons left to sell?

Answers

Answer:

Day 18

Step-by-step explanation:

4 divided by the sum of 2 and 12

Answers

Answer:

Step-by-step explanation:

4/(2+12)

=4/14

=2/7

=0.2857

Step-by-step explanation:

4/(2+12)

4/(14)

=0.285714286/ 2/7

2x+3/4(4x+16)=7
I need help finding x.. I don’t know how to do these problems with fractions :(

Answers

Answer:

x=-1

Step-by-step explanation:

2x+3/4(4x+16)=7

2x+(3x12)=7--->distributive property

2x+3x+12=7

5x+12=7--->addition property

5x=-5--->subtraction peroperty

x= -1---?division property

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