Question

What is the slope of the line through the points (-4, 2) and (-16, -6)?

Answer 1

Your answer is (2/3).

We can find this by using the formula (y2 - y1)/(x2 - x1) and substituting in the coordinates:

(-6 - 2)/(-16 - -4) = -8/-12 = 2/3.

I hope this helps!

Answer 2

Slope using two points is given by formula

$m=\frac{y_2-y_1}{x_2-x_1}$

plug the given points

$m=\frac{-6-2}{-16-(-4)}$

$m=\frac{-8}{-16+4}$

$m=\frac{-8}{-12}$

$m=\frac{2}{3}$

Hence required slope is 2/3.