Question

What is an equation in point slope form that passes through the point (-5,150 and has a slope -6?

Answer 1

The point-slope form of the linear equation is

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

m is the slope

(x1, y1) is a point on the line

Since the slope of the line is -6, then

m = -6

Since the line passes through the point (-5, 15), then

`\begin{gathered} x_1=-5 \\ y_1=15 \end{gathered}`

Substitute them in the form of the equation above

`\begin{gathered} y-15=-6(x-\lbrack-5\rbrack) \\ y-15=-6(x+5) \end{gathered}`

The answer is

`y-15=-6(x+5)`