Question

What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ? y+1=89(x+4) y+4=98(x+1) y−1=89(x−4) y+1=87(x+4)

Answer 1

y+1=8/9(x+4)

Explanation:

I took the quiz

Answer 2

The point-slope formula:

`y-y_1=m(x-x_1)\\\\m=(y_2-y_1)/(x_2-x_1)`

We have the points (-4, -1) and (5, 7).

Substitute:

`m=(7-(-1))/(5-(-4))=(7+1)/(5+4)=(8)/(9)\\\\y-(-1)=(8)/(9)(x-(-4))\\\\\boxed{y+1=(8)/(9)(x+4)}`