Question

Write an equation of the line passing through point P (4, -2) that is perpendicular to y = 1/5 - 1.

Answer 1

The line is perpendicular to the line:

`y=(1)/(5)x-1`

so the new slope will be the inverse reciproc of the other line so the new slope will be:

`m=-5`

now we ca unsa the formula of the slope an the coordinate (4, -2) to find the equation:

`m=(y-y_1)/(x-x_1)_{}`

and we replase m and the coordinate so

`-5=(y-(-2))/(x-4)`

and we solve for y

`\begin{gathered} y+2=-5x+20 \\ y=-5x+20-2 \\ y=-5x+18 \end{gathered}`