Questions: 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.
Transcript text: 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.
Solution
Solution Steps
Step 1: Identify Two Points on the Line
Identify two points on the line to calculate the slope. From the graph, we can see that the line passes through the points \((0, 0)\) and \((4, 4)\).
Step 2: Calculate the Rise
The rise is the change in the y-coordinates of the two points. For the points \((0, 0)\) and \((4, 4)\), the rise is:
\[ 4 - 0 = 4 \]
Step 3: Calculate the Run
The run is the change in the x-coordinates of the two points. For the points \((0, 0)\) and \((4, 4)\), the run is:
\[ 4 - 0 = 4 \]
Step 4: Calculate the Slope
The slope of the line is the ratio of the rise to the run:
\[ \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{4}{4} = 1 \]