Question

A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because in the formula is zero, and the numerator of a fraction cannot be zero. It has a slope of zero because in the formula is zero, and the denominator of a fraction cannot be zero. It has no slope because in the formula is zero, and the numerator of a fraction cannot be zero. It has no slope because in the formula is zero, and the denominator of a fraction cannot be zero.

Answer 1

Slope formula:
`(y2-y1)/(x2-x1)`
Apply.

`(20-10)/(7-7) = (10)/(0) =` undefined (No slope)

Thus, that answer is: Choice D.

If you're wondering why C isn't this answer, it's because it doesn't matter if 0 is the numerator of a fraction. If it was, then the slope would be 0 regardless. However, if 0 takes place in the denominator, the slope will be undefined; there will be no slope.