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問題

解法ステップ

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

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

答え

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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