Question

Can u find the perpendicular slope intercept form pls hurry?

Answer 1

Two lines are perpendicular if the product of their slopes is -1. In this example, the slope of one of the slopes is -5/3 (the coefficient of the x variable when the equation is solved for y), then the slope of the new line must satisfy

`\begin{gathered} -(5)/(3)m=-1 \\ m=(3)/(5) \end{gathered}`

Using the point-slope form, we have

`\begin{gathered} y-(-1)=(3)/(5)(x-(-5)) \\ y+1=(3)/(5)x+3 \\ y=(3)/(5)x+2 \end{gathered}`

Then, the slope-intercept form of the equation is

`y=(3)/(5)x+2`