Question

draw a line representing the
ise\ and a line representing the
un\ of the line. state the slope of the line in simplest form. click twice to plot each segment. click a segment to delete it. y 10 9 8 7 6 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 x -1 -2 -3 -4

Explanation:

Step1: Identify two points on the line

The line passes through \((0, 3)\) (the y - intercept) and \((5, 0)\) (the x - intercept).

Step2: Calculate the rise and run

Rise is the change in \(y\) - values: \(y_2 - y_1=0 - 3=- 3\)
Run is the change in \(x\) - values: \(x_2 - x_1 = 5-0 = 5\)

Step3: Calculate the slope

The formula for slope \(m=\frac{\text{rise}}{\text{run}}=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the values, we get \(m=\frac{-3}{5}=-\frac{3}{5}\)

Answer:

The slope of the line is \(-\frac{3}{5}\)