Question

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.

Explanation:

Step1: Recall slope - parallel line property

Parallel lines have equal slopes.

Step2: Find two points on the given line

Let's assume two points \((x_1,y_1)\) and \((x_2,y_2)\) on the given line. If the line passes through \((0, 8)\) and \((8,0)\) (by observing the graph approximately).

Step3: Calculate the slope of the given line

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 0,y_1=8,x_2 = 8,y_2 = 0\) gives \(m=\frac{0 - 8}{8-0}=\frac{-8}{8}=- 1\).

Step4: Graph a parallel line

To graph a parallel line, start at any point (e.g., \((0,4)\)) and use the slope of - 1. Move 1 unit to the right and 1 unit down to plot more points and draw the line.

Answer:

The slope of the given line and the parallel line is - 1.