Question

Find the equation for the line that passes through the point (3,-2), and that is perpendicular to the line with the equation x = 2.

Answer 1

Step-by-step explanation:

x = 2 is, as you can see, parallel to the y-axis.

perpendicular to this (= crosses the original line in an angle of 90 degrees) is then a line parallel to the x-axis.

that means y is constant. all points on that line will have the same y value.

and we know one point already : (3, -2)

so all points of the perpendicular line will have y = -2

and that is the equation of the perpendicular line :

y = -2