Answer:
Option D: y = 4x + 16
Step-by-step explanation:
Given the line: y - 1 = 4(x + 3) ⇒ y = 4x + 13
The slope of the given line = m = 4
The required line is parallel to the given line
So, the slope of the required line = m = 4
So, the general equation of the required line: y = 4x + c
Where c is constant represents y-intercept
To find the value of c, substitute with the point (4,32)
At x = 4 y = 32
∴ 32 = 4 * 4 + c
∴ c = 32 - 16 = 16
∴ y = 4x + 16
The answer is option D: y = 4x + 16
