The equation of the line that is parallel to the line y = 4x + 13 and passing through the point (4, 32) will be y = 4x + 16. Then the correct option is D.
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The equation of the line is given below.
y − 1 = 4(x + 3)
The equation can be written as
y = 4x + 13
Then the equation of the line that is parallel to the line y = 4x + 13 and passing through the point (4, 32) will be
The slope of the parallel lines will be the same
Slope = 4
Then
y = 4x + c
The line is passing through (4, 32)
32 = 4(4) + c
32 = 16 + c
c = 16
The equation of a parallel line is y = 4x + 16
More about the linear system link is given below.
https://brainly.com/question/20379472
