Question

What is the equation, in point-slope form, of the line

that is perpendicular to the given line and passes
through the point (-4, 3)?

y-3= -2(x+4)
y-3 = -(x+4)
y-3=(x+4)
y-3=2(x+4)

Answer 1

y - 3 = -2(x + 4)

Explanation:

For the given line, start at (-4, -3). Go up 4 units, then right 8 units. You will end at

(4, 1). The slope of this line is 1/2, so the slope of the perpendicular line will be -2 since the slopes of perpendicular lines are negative reciprocals of each other. The perpendicular line passes through

(-4, 3), so the correct equation is

y - 3 = -2(x + 4).