Question

Find an equation for the line perpendicular to x= -3 and goes through the point (-9, -2)​

Answer 1

y = -2

Explanation:

The line x = -3 is a vertical one; the slope of a line perpendicular to x = -3 is zero (0). Recall that the slope of a vertical line is undefined and that of a line perpendicular to a vertical line is 0.

Then, to write the equation of the perpendicular line, we borrow the '-2' from (-9, -2) and write y = -2. This line does indeed pass through (-9, -2) and every other point whose y-component is -2.