Question

Find the equation to the line perpendicular to the line y=0x-1, going through the point (-5,4)

Answer 1

We have the line:

`y=0x-1=-1`

We have to find a perpendicular line that passes through point (-5,4).

As the original line is an horizontal line (slope = 0), a perpendicular line will be a line that is vertical (undefined slope) with an equation x = k, where k is a constant.

Then, as x = k defines the line that pass through all the points with coordinates (k,y), if it has to pass through (-5,4), then k = -5.

If k = -5, the line is x = -5.

We can picture this in a graph as:

Answer: the equation is x = -5.