Answer:
[tex]y=\frac{3}{2} x-2[/tex]
Step-by-step explanation:
To find your slope using two points, use the slope formula.
[tex]\frac{y2-y1}{x2-x1}[/tex]
Your y1 term is -5, your y2 term is 4.
Your x1 term is -2, your x2 term is 4.
[tex]\frac{4-(-5)}{4-(-2)} \\\\\frac{9}{6} \\\\\frac{3}{2}[/tex]
Now that we have your slope, you can use the slope and one of your points in point-slope form to find your y-intercept.
[tex]y-y1=m(x-x1)\\y-4=\frac{3}{2} (x-4)\\y-4=\frac{3}{2} x-6\\y=\frac{3}{2} x-2[/tex]
