Write an equation of a line that goes thru the points (-2, 6) & (3, -4)

Answers

Answer 1

Answer:

y= -2x +2

Step-by-step explanation:

The equation of a line can be written in the form of y= mx +c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.

To find the value of m, use the gradient formula below:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

[tex]m = \frac{6 - ( - 4)}{ - 2 - 3}[/tex]

[tex]m = \frac{6 + 4}{ - 5} [/tex]

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

m= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, substitute any pair of coordinates that the line passes through into the equation. Here, I am going to substitute the coordinates (3, -4).

y= -2x +c

When x= 3, y= -4,

-4= -2(3) +c

-4= -6 +c

c= -4 +6

c= 2

Thus, the equation of the line is y= -2x +2.


Related Questions

In this function, if the value of r were to increase, would the value represented by P also increase or stay the same? Why? Explain your answer using terms such as "rate of growth" and "initial value" in the context of the coin problem.

Answers

Answer:

P will remain the same

Step-by-step explanation:

Given

[tex]V(t) = P(1 + r)^t[/tex] --- Coin value formula [Missing from the question]

Required

What happens to p when r increases

The coin value function is an exponential function which is of the general  form:

[tex]y = a(1 + b)^x[/tex]

From the given function: [tex]V(t) = P(1 + r)^t[/tex]

P represents the initial value and r represents the rate

The rate of change (r) and the initial value (P) of a function are both independent, and they do not depend on one another for their values.

An increment or decrement in r will not affect the value of P.

Conclusively, when the rate (r) changes, the initial value (P) will remain the same.

How do I solve this equation? 2/3(x-4)=1/2

Answers

Answer:

19/4

Step-by-step explanation:

the answer is 19/4.From the photo

Could anybody help me with these few they're awfully confusing to me.

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Answer:

how can I be of help

can't see anything actually

Which of the following is a one-to-one functions?

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Answer:

A function f : X → Y is said to be one to one (or injective function), if the images of distinct elements of X under f are distinct, i.e., for every x1 , x2 ∈ X, f(x1 ) = f(x2 ) implies x1 = x2 . Otherwise, it is called many to one function.

EASY 7TH GRADE MATH! FIRST PERSON MARKED BRAINLIEST, NEED HELP NOW!!!

Answers

Answer:

slope of 2 and y-intercept of 1

(3rd answer choice)

Step-by-step explanation:

Answer:

It's the last one doesn't matter which way you go they are both going to the negative way because they are going down and to the left so they are both negative. I hope this helps good luck.

Elena raised $84 to support the animal shelter, which is 30% of her fundraising goal. What is Elena's fundraising goal

Answers

$280 is her goal. Good luck and have a great day!

can someone help please

Answers

it’s the last one negative 13 over 7 mark me brainliest please

can you help me with my homework please​

Answers

Answer:

Yes

Step-by-step explanation:

What Are The Questions

Can someone help me?????

Answers

answer: b
explanation: CD=AB since they are parallel meaning 33 = x+14 (solve to get y=19) and then AD=CB because they are also parallel meaning y=10

A teacher lives 8 miles from school. She drives a 2015 Chevy Camaro that gets 19 miles per gallon of gas. How much fuel will she need to get TO AND FROM work for the week?

Answers

Answer:

Step-by-step explanation:

Technically we cannot solve this without knowing how many days a week that she works.

f=(16mi*d)(gal/19mi)

f=(16/19)d

We would have to assume that she works a certain amount of days. If we assume she works every day

f=7(16/19)=112/19, approximately 5.9 gal

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.

Answers

Answer:

Step-by-step explanation

….

Answer: 0.9

Step-by-step explanation:

The path of an athlete's long jump is modeled by a function h(d)=−14d2+d, where d and h denote the distance and the height in meters respectively. The graph of h(d) is given by

Answers

Answer:9ft

Step-by-step explanation:

the lengths of the sides of a triangle are 2n, n^2 and n+5 for what value of n do these lengths not make a triangle ?

Answers

The length , explain that againnnnnnn

Answer:

Step-by-step explanation:

Try n = 2

2n = 4

n^2 = 4

n+5 = 7   That works. It will make a triangle since the 2 smallest numbers are bigger than 7

Try n = 3

2n = 6

n^2 = 9

n + 5 = 8     That works. Same reason as above.

n = 4

2n = 8

n^2 = 16

n + 5 = 9    That works. Same reason.

n = 5

2n = 10

n^2 = 25

n+5 = 10   Aha! That doesn't work. the two smaller numbers only = 20.

There are likely many numbers that don't work. I'll try one more

n = 6

2n = 12

n + 5 = 11

n^2 = 36   This won't work either. Same reason as n = 5.

for the table below, what is the range?

Answers

Answer:

second option

Step-by-step explanation:

mark me brainliest pls

A basketball court is a rectangle that is 28\,\text{m}28m28, start text, m, end text long and 15\,\text{m}15m15, start text, m, end text wide. A diagram on a coordinate plane shows a circle in the middle of the court centered at (0\,\text{m},0\,\text{m})(0m,0m)left parenthesis, 0, start text, m, end text, comma, 0, start text, m, end text, right parenthesis. The point (0.8\,\text{m}, 1.5\,\text{m})(0.8m,1.5m)left parenthesis, 0, point, 8, start text, m, end text, comma, 1, point, 5, start text, m, end text, right parenthesis is on the circumference of the circle.
Approximately what percentage of the court does the circle cover?

Answers

Answer:

48

Step-by-step explanation:

Answer:

B, 2%

Step-by-step explanation:

The distance between points F and H is 3 units, and the distance between points H and G is 4 units. What is the distance between points F and G?

Answers

Answer:

[tex] {4}^{2} + {3}^{2} = 16 + 9 = \sqrt{25} = 5[/tex]

What is the value of' x'?
B.
D
3 ft
6 ft
A
С
4 ft
E
F
Х
help pls

Answers

Answer:

7..the way you worded the options was confusing

Can someone help me with these word problems?

Answers

Answer:

First Answer: 12.5 weeks

Third Answer: 16 minutes(I think it was a really long decimal so I rounded it up)

Evaluate:
(15 +12) - 3 to the second power

Answers

Answer:

Step-by-step explanation: (15+12)-3^2 power ------> 27-3^2 power ----> 27-9 ----> equals 18

ANSWER:

18

SOLUTION:

(15+12) -3^2

(15+12) = 27

=27-3^2

=27- 9

=18

Is that right?

Please help

Answers

Answer:

yes x = 16

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

133 = x + 117 ( subtract 117 from both sides )

16 = x

anyone help pls!! will mark brainliest​

Answers

Answer:

2.5 cm is the radius

Step-by-step explanation:

Point p is the interior of angle abc. If angle abc=125deg and angle abp=62deg, what is the angle pbc?

Answers

Answer: The angle ∠ PBC is 63°.

Step-by-step explanation:

Given: Point P is in the interior of ∠ABC.

∠ ABC = 125°

∠ABP= 62°

To find : ∠ PBC

Since P is in the interior of ∠ABC.

Then

∠ ABC = ∠ABP + ∠ PBC

⇒ 125°= 62°+ ∠ PBC

⇒ ∠ PBC= 125° - 62°

⇒ ∠ PBC= 63°

Hence, the angle ∠ PBC is 63°.

Find the area of the figure.
(Sides meet at right angles.)
3 ft
2 ft
2 ft
1 ft
5 ft
2 ft
2 ft
3 ft

Answers

50 sq ft. Explanation:
50ft I think , I’m not 100% sure

Please give me the correct answer.​

Answers

15
DONT ACTUALLY WRITE THIS DOWN IM USING IT FOR POINTS

Answer:

1:2

Step-by-step explanation:

The left side goes up one when the left goes up 2

The tape diagram represents an equation.
I will give you a brainlist

Answers

7m=63 ? im js guessing im not sure

2/3x - 7 < 9
help please

Answers

Answer:

x<24

*the answer will be incorrect if you meant 2/(3x) instead of (2/3)x

Step-by-step explanation:

First, add 7 to both sides of the inequality to get "2/3x<16." Then multiply both sides by 3 to get "2x<48." Finally, divide both sides by 2 to get "x<24"

Find the value of h(45) for the function below.

Answers

Answer:

I agree with her her explain and her solving

5
What is shape of base?
Name the shape:

Answers

Answer:

pentagon

Step-by-step explanation: pentagon has 5 sides so the base is 5 and pentagon

Answer:

sine

Step-by-step explanation:

https://quizizz

.com/admin/quiz/58b03b8967e5cbbb47f236d7/trig-ratios

Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.4.
Independently, she then decides whether or not to buy a CD, with a probability of 0.3 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.

Answers

Answer:  0.58

Step-by-step explanation:

Step 1 : Caroline buys fruit and buys cd ( buys both) = 0.12      ( 0.4 x 0.3)

Step 2 : Caroline buys fruit and not cd =  0.28                          ( 0.4 x 0.7)

Step 3 : Caroline doesn't buy fruit but buys cd = 0.18               ( 0.6 x 0.3 )

STEP 4 (FINAL STEP) : Add all the probabilities ( 0.12 + 0.28 + 0.18)

Answer: 0.58

Step-by-step explanation:

 

Step 1 : Caroline buys fruit and buys cd ( buys both) = 0.12      ( 0.4 x 0.3)

Step 2 : Caroline buys fruit and not cd =  0.28                          ( 0.4 x 0.7)

Step 3 : Caroline doesn't buy fruit but buys cd = 0.18               ( 0.6 x 0.3 )

STEP 4 (FINAL STEP) : Add all the probabilities ( 0.12 + 0.28 + 0.18)

ANSWER =  0.58

Help please i don’t understand

Answers

Answer:

B or C

Step-by-step explanation:

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