A line passes through the point (2, −1) and is perpendicular to the line = y = (−2/5)x + 3. What is its equation?
Show answer & explanation
Correct answer: C
Explanation
Point = (2, −1), Line = y = (−2/5)x + 3
Product of the slopes of perpendicular lines = −1
Slope of the given line = −2/5
Required slope = 5/2
y − (−1) = (5/2)(x − 2)
y + 1 = (5/2)(x − 2)
y + 1 = (5/2)x − 5
y = (5/2)x − 6