Answer:
y = -4x - 3
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept, the value of y when x is zero.
A line parallel to the reference line, y = -4x + 2 will have the same slope, -4.
We can start the equation with the slope, m, set to -4:
y = -4x + b
Any value of b will result in a parallel line. But we want to force this line through point (-2,5). To find the b that will do that, enter the point and solve for b:
y = -4x + b
5 = -4*(-2) + b
5 = 8 + b
b = -3
The equation becomes y = -4x - 3
See attachment.
