Question

Which of the following properly describe “slope”? Select the three that apply.(3 points) Responses x2−x1y2−y1 the fraction with numerator x sub 2 minus x sub 1 and denominator y sub 2 minus y sub 1 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 riserun the fraction with numerator r i s e and denominator r u n y2−y1x2−x1

Answer 1

The three responses that properly describe "slope" are:

1. Change in y-value over change in x-value - This is the basic definition of slope.
2. The fraction with numerator (y₂ - y₁) and denominator (x₂ - x₁) - This is the formula for calculating slope.
3. The fraction with numerator (rise) and denominator (run) - This also describes slope in terms of its graphical interpretation.

So the final answers are:

1. Change in y-value over change in x-value
2. \( \frac{y_2 - y_1}{x_2 - x_1} \)
3. The fraction with numerator rise and denominator run