A line passes through the point (2, -4) and is parallel to the line y = 4x + 1. What is its equation?
Show answer & explanation
Correct answer: B
Explanation
The slope of the given line y = 4x + 1 is 4.
The slope of the parallel line will also be 4.
Let the equation of the line be
y = 4x + c
It passes through the point (2, −4).
−4 = 4 × 2 + c
−4 = 8 + c
c = −12
Therefore, the equation of the line is y = 4x − 12.