Question

Which of the following properly describe "slope"? Select all that apply.
StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction
StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction
run / rise
rise / run
ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)

Answer 1

Answer:

ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)

Step-by-step explanation:

Which of the following properly describe "slope"? Select all that apply.

StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction

StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction

run / rise

rise / run

ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)

Answer 2

Given: Slope

To find: Which of the following properly describe "slope"

Solution:

The slope of a line is given by the following formula.

$slope (m) = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

When any two points on a line are given, those points are substituted in the above formula and the slope is found. Here, the two points are (x₁,y₁) and (x₂,y₂).

In order to find the y-intercept form of a line, the slope must be found. The y-intercept form can be found using the formula.

$y = mx +c$

Therefore, StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction properly describes "slope".