Question

What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?​

Answer 1

`\large\boxed{y-12=(5)/(6)(x+9)}`

Explanation:

The point-slope form of an equation of a line:

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

m - slope

(x₁, y₁) - point on a line

We have

`m=(5)/(6),\ (-9,\ 12)\to x_1=-9,\ y_1=12`

Substitute:

`y-12=(5)/(6)(x-(-9))\\\\y-12=(5)/(6)(x+9)`