What is the equation of a line that is perpendicular to - x + 2y = 4 and passes through the point (-2,1)?
A. y = -2x - 3
B. y = 2x + 4
C. y = x + 2
D. y = 2x - 4
A. y = -2x - 3
B. y = 2x + 4
C. y = x + 2
D. y = 2x - 4
1 Answer
A.
Explanation:
First, rewrite the equation in slope-intercept form:
So the slope of the given line is
Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope
Knowing the new slope and a point, we can find an equation for our perpendicular line by using the slope-point equation
or