Answer: y = -(1/2)x - 1
Step-by-step explanation:
y=2x+3
This is written in the format of y = mx + b, where m is the slope and b the y-intercept. The slope of this reference line is 2. Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line. That means out new line will have a slope of -(1/2):
y = -(1/2)x + b
We can find b by entering the x and y for the given point (-4,1) and solve for b:
y = -(1/2)x + b
1 = -(1/2)(-4) + b
1 = 2 + b
b = -1
y = -(1/2)x - 1
This equation is perpendicular to y=2x+3 and goes through point (-4,1). See attachment.
