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.
graph with y and x axes, grid, and a line
answer attempt 1 out of 2
slope of the line: blank box submit answer

Explanation:

Step1: Identify two points

The line passes through $(0, 4)$ and $(-8, 0)$ (or other two clear points, here we use these two for calculation).

Step2: Calculate rise and run

Rise is the change in $y$: $4 - 0 = 4$. Run is the change in $x$: $0 - (-8) = 8$. (Or using another pair, for example, from $(-8,0)$ to $(0,4)$, rise is $4 - 0 = 4$, run is $0 - (-8) = 8$; or we can also take smaller intervals. Alternatively, looking at the graph, when $x$ increases by 2, $y$ increases by 1. So rise = 1, run = 2.)

Step3: Compute slope

Slope is $\frac{\text{rise}}{\text{run}}=\frac{1}{2}$ (using the smaller interval where for a run of 2 (change in x), rise is 1 (change in y), so slope is $\frac{1}{2}$).

Answer:

$\frac{1}{2}$