Answer:
Step-by-step explanation:
1) Use the given coordinate points to find the slope
m=[tex]\frac{10-4}{8-(-2)}[/tex] m=[tex]\frac{3}{5}[/tex]
2) plug the slope into slope-intercept form
y=[tex]\frac{3}{5}[/tex]x+b
3) choose one point to use to plug into the equation to solve for b
4=[tex]\frac{3}{5}[/tex](-2)+b
4) solve for b.
b=[tex]\frac{26}{3}[/tex]
5) substitute the value for b into equation from step 2
y=[tex]\frac{3}{5}[/tex]x+[tex]\frac{26}{3}[/tex]
