Answer: A
Explanation:
1. Write all the equations in mx+b format. So for the answers, the format would be:
A.
x-2y=16
-2y=16-x
y=(x/2)-8
B.
x+2y=12
2y=12-x
y=(-x/2)+6
C.
x-2y=-12
-2y=-12-x
y=x+12
D.
y-7=(x/2)-1
y=(x/2)+6
To reduce some of the answers, we must find the slope, which is (y2-y1)/(x2-x1) or (-7-(-6))/(2-4)=(-1/-2)=1/2. As a result, we can eliminate B and C because they do not have the same slope as we just solved. Next, plug one of the xs and ys and solve for the intercept
-7=(2/2)+b
-7=1+b
b=-8
As a result, the equation must be y=(x/2)-8, which is A