Question

find Y pleaseWrite an equation for a line perpendicular to y=-5x-4 and passing through the point (-10,2)

Answer 1

Any line perpendicular to some line with slope a must have a slope -1/a

Then, any line with slope 1/5 will be perpendicular to the line y = -5x - 4

Now consider a line perpendicular to y = -5x - 4 passing through (-10,2). If b is your intercept, we have:

$\begin{gathered} y=\frac{x}{5}+b \\ 2=-\frac{10}{5}+b \\ 2=-2+b \\ b=4 \end{gathered}$

Therefore, the line is:

$y=\frac{x}{5}+4$