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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Step-by-step Solution
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 \( y = -\frac{2}{3}x + 6 \).
Quick Answer
The equation in slope-intercept form is \( y = -\frac{2}{3}x + 6 \).
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