Question

use each of these terms or phrases once to complete the sentences. proportional relationship rise run slope $x_2 - x_1$ $y_2 - y_1$ 1. the _____ of a line is the measure of the steepness of the line. 2. the slope is the same as the unit rate and constant of proportionality in a __________. 3. in the slope ratio, the change in the x - coordinates from one point to another on a line is the ___. 4. in the slope ratio, the change in the y - coordinates from one point to another on a line is the______. 5. the slope between two points on a line can be found using the ratio $\frac{change in y - coordinates}{change in x - coordinates}$ or $\frac{square}{square}$.

Explanation:

1. The steepness of a line is measured by its slope.
2. In a proportional relationship, the slope is the unit - rate and constant of proportionality.
3. The change in x - coordinates in the slope ratio is called the run.
4. The change in y - coordinates in the slope ratio is called the rise.
5. The slope between two points is the ratio of the change in y - coordinates ($y_2 - y_1$) to the change in x - coordinates ($x_2 - x_1$).

Answer:

1. slope
2. proportional relationship
3. run
4. rise
5. $y_2 - y_1$, $x_2 - x_1$