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QUESTION IMAGE

draw a line representing the “rise” and a line representing the “run” o…

Question

draw a line representing the “rise” and a line representing the “run” of the line. state the slope of the line in simplest form. click twice to plot each segment. click a segment to delete it.

Explanation:

Step1: Identify two points on line

Choose points $(0, 3)$ and $(5, 0)$ (intercepts of the line).

Step2: Calculate rise (change in y)

Rise = $y_2 - y_1 = 0 - 3 = -3$

Step3: Calculate run (change in x)

Run = $x_2 - x_1 = 5 - 0 = 5$

Step4: Compute slope as rise/run

Slope = $\frac{\text{rise}}{\text{run}} = \frac{-3}{5}$

Answer:

The slope of the line is $\boldsymbol{-\frac{3}{5}}$.
(For the rise/run lines: Plot a vertical segment from $(0, 3)$ down to $(0, 0)$ for the rise, and a horizontal segment from $(0, 0)$ to $(5, 0)$ for the run; or use any other pair of points on the line with consistent vertical/horizontal segments for rise/run.)