Question

Find an equation for the line

Answer 1

`y=-(4)/(3)x+(14)/(3)`

Explanation:

Slope (m) formula:
`(y_2-y_1)/(x_2-x_1)`

`m=(y_2-y_1)/(x_2-x_1) \\\\m=(6-(-2))/(-1-5) \\\\m=(6+2)/(-1-5) \\\\m=(8)/(-6) \\\\m=-(4)/(3)`

`y=mx+b`

`y=-(4)/(3) x+b`

(-1, 6)

`y=-(4)/(3) x+b\\\\6=-(4)/(3)(-1)+b\\\\6=(4)/(3)+b\\\\3(6=(4)/(3)+b)\\\\18=4+3b\\\\-4 -4\\\\14=3b\\\\/3 /3\\\\14/3=b`

`y=-(4)/(3)x+(14)/(3)`

Hope this helps!