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

The line passes through the y-intercept $(0, 4)$ and the x-intercept $(6, 0)$.

Step2: Calculate the vertical change (rise)

The rise is the difference in y-coordinates from the first point to the second. $$Rise = 0 - 4 = -4$$

Step3: Calculate the horizontal change (run)

The run is the difference in x-coordinates from the first point to the second. $$Run = 6 - 0 = 6$$

Step4: Determine the slope formula

The slope $m$ is defined as the ratio of rise to run. $$m = \frac{Rise}{Run}$$

Step5: Substitute values and simplify

Substitute the calculated values into the formula and reduce the fraction to simplest form. $$m = \frac{-4}{6} = -\frac{2}{3}$$

Answer:

Slope of the Line: -\frac{2}{3}