Question

Hello! I need help finding the equation in point slope form. Thank you!

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 a line passes through the point (-9, 8) and has a slope of -2/3, then

`\begin{gathered} (x_1,y_1)=(-9,8) \\ m=-(2)/(3) \end{gathered}`

Substitute them in the form above

`\begin{gathered} y-8=-(2)/(3)(x--9) \\ y-8=-(2)/(3)(x+9) \end{gathered}`

The equation of the line in the point-slope form is

`y-8=-(2)/(3)(x+9)`