Cook Newton
01/28/2024 · Junior High School

Put the following equation of a line into slope-intercept form, simplifying all fractions. \[ 4 x+6 y=36 \]

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Convert the equation \( 4x+6y=36 \) to slope-intercept form. Rewrite the equation by following steps: - step0: Rewrite in slope-intercept form: \(4x+6y=36\) - step1: Move the expression to the right side: \(6y=36-4x\) - step2: Divide both sides: \(y=6-\frac{2}{3}x\) - step3: Rearrange the terms: \(y=-\frac{2}{3}x+6\) The equation of the line in slope-intercept form is \( y = -\frac{2}{3}x + 6 \).

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The equation in slope-intercept form is \( y = -\frac{2}{3}x + 6 \).
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