Question

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

Answer 1

Answer:

$m=\frac{-4}{3}$

$y=\frac{-4}{3}x -\frac{1}{3}$

Step-by-step explanation:

Use the Slope formula...

$\frac{-3-5}{2-(-4)}$

$\frac{-8}{6} = \frac{-4}{3}\\\frac{-4}{3} = m$

Plug the slope into the Point-Slope formula...

$y -(5) = \frac{-4}{3}(x-(-4)) \\y+5=\frac{-4}{3}x +\frac{-16}{3}\\y=\frac{-4}{3}x +\frac{-1}{3}$