graph a line that is parallel to the given line. determine the slope of the given line and the one you…

graph a line that is parallel to the given line. determine the slope of the given line and the one you graphed in simplest form. click and drag on the graph to draw a line. click and drag to plot a parallel line. the line will change colors when a parallel or perpendicular line is drawn accurately.

graph a line that is parallel to the given line. determine the slope of the given line and the one you graphed in simplest form. click and drag on the graph to draw a line. click and drag to plot a parallel line. the line will change colors when a parallel or perpendicular line is drawn accurately.

Answer

Explanation:

Step1: Recall slope - parallel line property

Parallel lines have equal slopes.

Step2: Select two points on the given line

Let's say the given line passes through points $(x_1,y_1)=(0,3)$ and $(x_2,y_2)=(2,5)$.

Step3: Calculate the slope of the given line

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points, we get $m=\frac{5 - 3}{2-0}=\frac{2}{2}=1$.

Step4: Determine the slope of the parallel line

Since parallel lines have the same slope, the slope of the parallel - line is also 1.

Answer:

The slope of the given line is 1, and the slope of the parallel line is 1. To graph the parallel line, start at any point (for example, the y - intercept could be a different value like 0), and use the slope of 1 (rise 1, run 1) to draw the line.