Question

What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)`

The formula of a slope:

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