Question

What is the slope of the line that passes through (-4, 5) and (2, -3)?

A) -4/3
B) 1/3
C) -3/1
D) -3/4

Answer 1

Slope m has a form of,

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

We have points A and B,

`A(x_1,y_1),B(x_2,y_2)\longrightarrow A(-4,5),B(2,-3)`

Now insert the values in the slope formula,

`m=(-3-5)/(2-(-4))=(-8)/(6)=\boxed{-(4)/(3)}`

The answer is A.

Hope this helps.

r3t40