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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.

Explanation:

Step1: Identify two points on the line

The line passes through \((0, 0)\) and \((1, -3)\) (we can also use other points, but these are clear).

Step2: Calculate the rise and run

Rise is the change in \(y\): \(y_2 - y_1 = -3 - 0 = -3\)
Run is the change in \(x\): \(x_2 - x_1 = 1 - 0 = 1\)

Step3: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-3}{1} = -3\)
(For drawing: From \((0,0)\), the rise line would go down 3 units (since rise is -3) and the run line would go right 1 unit, or vice versa depending on direction, but the slope calculation is as above.)

Answer:

The slope of the line is \(-3\)