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.

Explanation:

Step1: Select two points on the line

Let's say we choose the points where the line intersects the axes. Assume it intersects the x - axis at $(x_1,0)$ and the y - axis at $(0,y_1)$.

Step2: Calculate the rise and run

The rise is the change in the y - value between the two points, and the run is the change in the x - value. If the two points are $(x_1,0)$ and $(0,y_1)$, then rise $=y_1 - 0=y_1$ and run $=0 - x_1=-x_1$.

Step3: Calculate the slope

The slope $m$ of a line is given by the formula $m=\frac{\text{rise}}{\text{run}}$. So $m = \frac{y_1}{-x_1}$. From the graph, if we assume the x - intercept is $x = 4$ and the y - intercept is $y = 4$. The rise from $(4,0)$ to $(0,4)$ is $4-0 = 4$ and the run is $0 - 4=-4$. Then $m=\frac{4}{-4}=- 1$.

Answer:

The slope of the line is $-1$.