Question

Name the slope and one point that is on the line

represented by the equation: x = -2
A) m = undefined and point (-2,5)
B) m = 0 and point (-2,4)
C) m = undefined and point (5,-2)
D) = zero and point (5,0)

Answer 1

Answer: Choice A

m = undefined

point (-2,5)

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Step-by-step explanation:

The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)

Another point on this line is (-2,5) since this also has x coordinate -2.

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All vertical lines have undefined slope.

Let's pick two points such as (-2,0) and (-2,1) and find the slope through them

m = (y2-y1)/(x2-x1)

m = (1-0)/(-2-(-2))

m = (1-0)/(-2+2)

m = 1/0

m = undefined, since we cannot divide by zero.