Answer:
[tex]y=-\frac{4}{3}x+\frac{14}{3}[/tex]
Step-by-step explanation:
Slope (m) formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-(-2)}{-1-5} \\\\m=\frac{6+2}{-1-5} \\\\m=\frac{8}{-6} \\\\m=-\frac{4}{3}[/tex]
[tex]y=mx+b[/tex]
[tex]y=-\frac{4}{3} x+b[/tex]
(-1, 6)
[tex]y=-\frac{4}{3} x+b\\\\6=-\frac{4}{3}(-1)+b\\\\6=\frac{4}{3}+b\\\\3(6=\frac{4}{3}+b)\\\\18=4+3b\\\\-4 -4\\\\14=3b\\\\/3 /3\\\\14/3=b[/tex]
[tex]y=-\frac{4}{3}x+\frac{14}{3}[/tex]
Hope this helps!
