Question

What is the equation of a line that passes through the point (1,8) and is perpendicular to the line whose equation is y=x/2 + 3

Answer 1

Since the original line has slope 1/2, a perpendicular line will have slope -2 since the slopes of perpendicular lines are negative reciprocals.

y - 8 = -2(x - 1)

y - 8 = -2x + 2

y = -2x + 10

2x + y = 10