Answer:
The equation is of the line that is parallel to the given line is:
y = 4x + 23
Step-by-step explanation:
The equation of a line is:
y = mx + b
Where m is the slope and b is the y-intercept.
Given the line:
4x - y + 5 = 0
y = 4x + 5
The slope here is 4 and y-intercept is 5
A line parallel to this - has the same slope but different y-intercept.
The line is in the form:
y = 4x + b
SInce this line passes through the point (-5, 3), we can use x = -5, y = 3 to obtain the value of b.
3 = 4(-5) + b
3 = -20 + b
b = 20 + 3
= 23
Therefore, the equation is:
y = 4x + 23