Question

Which expression can be used to determine the slope of the line that passes through the points (-7,3) and (1,-9)​

Answer 1

Slope m has a form of,

`m=\frac{\Delta{y}}{\Delta{x}}=(y_2-y_1)/(x_2-x_1)`

Your points say A and B have a form of,

`A(x_1,y_1),B(x_2,y_2)\longrightarrow A(-7,3),B(1,-9)`

We can populate our slope formula to,

`m=(-9-3)/(1-(-7))=(-12)/(8)=\boxed{-(3)/(2)}`

The slope of the line that passes through point A and B is m = -3/2

Hope this helps.

r3t40

Answer 2

m = (-9-3)/(1+7)

Explanation:

To find the slope given two points we use

m = (y2-y1)/(x2-x1)

m = (-9-3)/(1--7)

m = (-9-3)/(1+7)

m = -12/8

= -3/2