Question

Which of the following equations is parallel to the line passing through A(-2,7), B(-2,-2)?

Answer 1

A – y=-2
B – y=x
C – 3x = 5
D - -2x = 7y

Answer 2

we will find the slope first by using the slope formula :
slope(m) = (y2 - y1) / (x2 - x1)
(-2,7) x1 = -2 and y1 = 7
(-2,-2) x2 = -2 and y2 = -2
now lets sub
slope(m) = (-2 - 7) / (-2 - (-2)
m = -9/(-2 + 2)
m = -9/0

The slope of this line is undefined....it is a vertical line.
Since you are looking for a parallel line, the slope will stay the same.
A vertical line is set up where x = ?.
Your equation parallel to that line would be x = -2

Answer 3

However, that is not an answer choice......hmmm....I don't know then

Answer 4

Without much computation one can see the x values of both the points A and B are the same. That means the equation of that line is x = -2 and it is parallel to the y axis.

Among the choices, which one has the same type of equation of x = constant?

The third one has -3x = 5
Divide both sides by -3
x = -5/3 (which is a constant)

So C is the answer.