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write an equation of the line in the figure below the equation of the l…

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

Kategorie: geometry Aktualisiert: 2026-02-09

Aufgabe

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.)

Lösungsschritte

  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

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

Antwort

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 $b=0$.
$y = -\frac{2}{3}x + 0$

Answer

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

Question Image

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Question Analysis

Subject mathematics
Sub Subject geometry
Education Level high school
Difficulty unspecified
Question Type with image, calculation
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-09T20:30:50

OCR Text

Show OCR extraction
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.)

Verwandte Themen

mathematicsgeometrywith image, calculationhigh schoolturns-1

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