Write an equation of the line. Write the equation in the form x = a, y = b, or y = mx + b.
-Through (-10, 6); perpendicular to y = 2
A)y = -10
B)x = -10
C)x = 6
D)y = 6

Question

Quizplus · Accepted Answer

Since the given line is y=2 which is a horizontal line parallel to x-axis, the perpendicular line passing through (-10,6) should be a vertical line parallel to y-axis. Therefore, the equation of the line is x=-10 which is in the form of x=a. Since the given line is y = 2, which is a horizontal line, the line perpendicular to it will be a vertical line passing through the point (-10, 6). The equation of a vertical line passing through a point (a, b) is x = a. Therefore, the equation of the line passing through (-10, 6) perpendicular to y=2 is x = -10.

Write an Equation of the Line