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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 line in simplest form. click twice to plot each segment. click a segment to delete it.

Explanation:

Step1: Identify key points

The line passes through $(0, 3)$ (y-intercept) and $(5, 0)$ (x-intercept).

Step2: Calculate rise and run

Rise: $0 - 3 = -3$, Run: $5 - 0 = 5$

Step3: Find slope

Slope $m = \frac{\text{rise}}{\text{run}} = \frac{-3}{5}$

Step4: Write line equation

Use slope-intercept form $y = mx + b$, where $b=3$.
$y = -\frac{3}{5}x + 3$

Answer:

  • Rise: vertical segment from $(0, 3)$ to $(0, 0)$ (length 3 downward)
  • Run: horizontal segment from $(0, 0)$ to $(5, 0)$ (length 5 rightward)
  • Equation of the line: $y = -\frac{3}{5}x + 3$