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)

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Answer:

A,D,E

Step-by-step explanation:

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The expression that properly describes “slope" are;

[tex]m=\frac{\triangle y}{\triangle x} \\m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{rise}{run}[/tex]

The slope of a line determines the steepness of a line. It is also known as the gradient of a line.

The formula for calculating the slope of a line is expressed as:

[tex]m=\frac{\triangle y}{\triangle x} \\m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Δy is also known as rise

Δx is also known as run

Hence the slope of the line is also expressed as;

[tex]m=\frac{rise}{run}[/tex]

Hence the expression that properly describes “slope" are;

[tex]m=\frac{\triangle y}{\triangle x} \\m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{rise}{run}[/tex]

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