draw a line representing the \rise\ and a line representing the \run\ of the line. state the slope of the…

draw a line representing the \rise\ and a line representing the \run\ of the line. state the slope of the line in simplest form.\n\nclick twice to plot each segment.\nclick a segment to delete it.\n\nslope of the line:

draw a line representing the \rise\ and a line representing the \run\ of the line. state the slope of the line in simplest form.\n\nclick twice to plot each segment.\nclick a segment to delete it.\n\nslope of the line:

Answer

Explanation:

Step1: Identify two points on the line

Observe the graph to find points where the line crosses grid intersections. $$(x_1, y_1) = (0, -9), (x_2, y_2) = (6, -1)$$

Step2: Calculate the vertical change (rise)

Subtract the $y$-coordinate of the first point from the second. $$\text{Rise} = -1 - (-9) = 8$$

Step3: Calculate the horizontal change (run)

Subtract the $x$-coordinate of the first point from the second. $$\text{Run} = 6 - 0 = 6$$

Step4: Determine the slope formula

The slope $m$ is the ratio of rise to run. $$m = \frac{\text{Rise}}{\text{Run}} = \frac{8}{6}$$

Step5: Simplify the fraction

Divide both the numerator and denominator by their greatest common divisor, 2. $$m = \frac{4}{3}$$

Answer:

Slope of the Line: $\frac{4}{3}$