If the slope of a straight line is 0 and the y-intercept is –2, what is the equation of the line?
A.
y = –2
B.
y = x – 2
C.
y = 2x
D.
y = 2

Question

If the slope of a straight line is 0 and the y-intercept is –2, what is the equation of the line?
A.
y = –2
B.
y = x – 2
C.
y = 2x
D.
y = 2

anonymous · Answer

Well if the slope is 0 then the line has to be horizontal. Because if it was vertical, the slope would be undefined. Since slope is rise/run, if the slope is 0 you aren't using a rise. So it's 0. It measures the change in y coordinate divided by the one in the x coordinate. 
So we know B & C are out of the picture because they give slopes of 1 and 2, and we know the slope is 0. If the y intercept is -2 Then the initial point is (0,-2).
That's it. All of the points across (0,2) is a solution. 
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