Question

Please help me! :) !!!!!!!

Answer 1

The formula of a slope:

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

We have the points

$(-3,\ -2);\ (5,\ 4)$

Substitute:

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

The point slope formula:

$y-y_1=m(x-x_1)$

Substitute:

$y-(-2)=\dfrac{3}{4}(x-(-3))\\\\y+2=\dfrac{3}{4}x+\dfrac{9}{4}\ \ \ \ |-2\\\\y=\dfrac{3}{4}x+\dfrac{9}{4}-\dfrac{8}{4}\\\\\boxed{y=\dfrac{3}{4}x+\dfrac{1}{4}}$