Answer:
[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]
Step-by-step explanation:
Let [tex](x_1,y_1)\rightarrow(-4,-4)[/tex] and [tex](x_2,y_2)\rightarow(2,4)[/tex]:
Determine slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{4-(-4)}{2-(-4)}\\ \\m=\frac{4+4}{2+4}\\ \\m=\frac{8}{6}\\ \\m=\frac{4}{3}[/tex]
Use either coordinate point to find "b", the y-intercept
[tex]y=mx+b\\\\4=\frac{4}{3}(2)+b\\ \\4=\frac{8}{3}+b\\ \\\frac{4}{3}=b[/tex]
Final Equation
[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]