Which of the following properly describe “slope”? Select the three that apply.(3 points)

Question

Responses

runrise
the fraction with numerator r u n and denominator r i s e

change in y-value over change in x-value
change in y-value over change in x-value

y2−y1x2−x1
the fraction with numerator y sub 2 minus y sub 1 and denominator x sub 2 minus x sub 1

riserun
the fraction with numerator r i s e and denominator r u n

x2−x1y2−y1

Answer 1

The three responses that properly describe "slope" are:

1. change in y-value over change in x-value
2. y2−y1/x2−x1 (the fraction with numerator y sub 2 minus y sub 1 and denominator x sub 2 minus x sub 1)
3. riserun (the fraction with numerator r i s e and denominator r u n)

These options correctly convey the mathematical concept of slope. The slope is typically defined as the ratio of the vertical change (rise) to the horizontal change (run), which corresponds to the first and last options as well as the algebraic expression for slope.