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. 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 -5 -6 -7 -8 -9 -10

Explanation:

Step1: Identify two points on the line

Let's take two points on the given line, say $(0, - 6)$ and $(4,-7)$.

Step2: Calculate the rise

The rise is the change in the $y$ - values. Rise $=\Delta y=y_2 - y_1$. Here, $y_1=-6$ and $y_2 = - 7$, so $\Delta y=-7-( - 6)=-7 + 6=-1$.

Step3: Calculate the run

The run is the change in the $x$ - values. Run $=\Delta x=x_2 - x_1$. Here, $x_1 = 0$ and $x_2=4$, so $\Delta x=4 - 0=4$.

Step4: Calculate the slope

The slope $m$ of a line is given by the formula $m=\frac{\text{rise}}{\text{run}}$. Substituting the values of rise and run, we get $m=\frac{-1}{4}=-\frac{1}{4}$.

Answer:

The slope of the line is $-\frac{1}{4}$