Question

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

Answer 1

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points

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

Substitute:

`m=(4-(-2))/(5-(-3))=(6)/(8)=(3)/(4)`

The point slope formula:

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

Substitute:

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