Question

I have a graph and its points are (5,3) and (-4,-6). What is the equation of the line? Give your answer in slope-intercept form.

Answer 1

Slope intercept form is y = mx + b.

Answer 2

Where m = slope and b = y-intercept.

Answer 3

So how do I find the slope and intercept @iGreen

Answer 4

First you find the slope by using the equation \(m = \dfrac{y_2-y_1}{x_2-x_1}\)

Answer 5

How do I know which one should be x2 or x1? Does it matter?

Answer 6

\(y_2 = -6\)
\(y_1 = 3\)

\(x_2 = -4\)
\(x_1 = 5\)

Answer 7

No not really. I just do it in the order it gives you.

(5,3) and (-4,-6)

So I say x1 is 5, x2 is -4, y1 is 3, and y2 is -6.

Answer 8

Okay c: That way they are both -9 so is the slope -9 or 1 since the answer was -9/-9?

Answer 9

-9/-9 is 1 so you are correct, the slope is 1.

Answer 10

Thank you c: So how do I get the intercept?

Answer 11

That gives you y = 1x + b or y = x + b.

Answer 12

yea so far I got y=1x+b

Answer 13

Just plug any of the points in the equation to find the y-intercept.

(5, 3)

y = x + b

3 = 5 + b

Subtract b to both sides:

3 - b = 5

Subtract 3 to both sides:

-b = 2

Multiply -1 to both sides of the equation:

b = -2

So your y-intercept is -2, making your equation y = x - 2.

Answer 14

Thank you so much!!!