Question

Define ‘slope’.


A. The slope is the change of y over the change of x.
B. The slope is the change of x over the change of y.
C. The slope is the y coordinate of a point over the x coordinate of the same point.
D. The slope is the x coordinate of a point over the y coordinate of the same point.

Answer 1

I would say the answer is: C. The slope is the y coordinate of a point over the x coordinate of the same point.

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line.

Answer 2

But, C means that for the point (0,0) the slope is always undefined as it implies. \( \frac{0}{0} \)
And for the point (1,0) the slope is always \( \frac{0}{1} = 0 \)
But I can think of many lines going through those points with many different slopes.

I think that: A) The slope is the change of y over the change of x
Describes your second paragraph the best. That is what I would pick anyway..