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QUESTION IMAGE

draw a line representing the ise\ and a line representing the un\ of th…

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 x-axis from -10 to 10 and y-axis from -10 to 10, line passing through (0,8) and (8,0))

Explanation:

Step1: Identify two points

The line passes through \((0, 8)\) and \((8, 0)\).

Step2: Calculate rise and run

Rise is the change in \(y\): \(0 - 8=-8\). Run is the change in \(x\): \(8 - 0 = 8\).

Step3: Compute slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-8}{8}=-1\).

Answer:

The slope of the line is \(-1\). (For drawing the rise and run: From \((0, 8)\) to \((0, 0)\) is the rise (vertical segment, change in \(y\)) and from \((0, 0)\) to \((8, 0)\) is the run (horizontal segment, change in \(x\)), or directly between \((0, 8)\) and \((8, 0)\) with vertical and horizontal components.)