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Étapes de solution

1. Understand the question

   write an equation of the line in the figure below
   the equation of the line is
   (simplify your answer. type your answer
   in slope-intercept form. use integers or fractions
   for any numbers in the equation.)

2. Explanation

   Step1: Identify two points

   From the graph, we can pick two clear points: $(0, 0)$ and $(3, -2)$.

   Step2: Calculate the slope

   Slope $m$ is $\frac{y_2-y_1}{x_2-x_1}$.
   $m = \frac{-2 - 0}{3 - 0} = -\frac{2}{3}$

   Step3: Find y-intercept

   The line crosses the y-axis at $(0,0)$, so $b=0$.

   Step4: Write slope-intercept form

   Slope-intercept form is $y=mx+b$.
   Substitute $m=-\frac{2}{3}$ and $b=0$.
   $y = -\frac{2}{3}x + 0$

3. Final answer

   $y = -\frac{2}{3}x$

Réponse

Question Analysis

OCR Text

write an equation of the line in the figure below
the equation of the line is
(simplify your answer. type your answer
in slope-intercept form. use integers or fractions
for any numbers in the equation.)

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