Question

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

Answer 1

Slope m has a form of,

$m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}$

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,

$m=\dfrac{-3-5}{2-(-4)}=\dfrac{-8}{6}=\boxed{-\dfrac{4}{3}}$

The answer is A.

Hope this helps.

r3t40