Answer:
Step-by-step explanation:
A line that is perpendicular to a reference line will have a slope that is the negative inverse of the reference line.
In this case, the reference line is y = -x - 1. It has a slope of -1. The negative inverse of this would be -(1/-1) = 1.
We can then write:
y = mx + b
y = 1x + b
To find b, enter the one given point that lines on the line, (-4,2).
y = 1x + b
y = 1x + b for (-4,2)
2 = 1(-4) + b
b = 6
The equation becomes y = x + 6
See attached.
