Question
Rewrite the following equation in slope-intercept form. \[ 10 x-11 y=13 \] Write your answer using integers, proper fractions, and improper fractions in simplest form.
Ask by Chambers Mathis. in Guam
Mar 19,2025
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Answer
The equation in slope-intercept form is \( y = \frac{10}{11}x - \frac{13}{11} \).
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To rewrite the equation \( 10x - 11y = 13 \) in slope-intercept form (y = mx + b), we need to isolate \( y \). First, subtract \( 10x \) from both sides: \[ -11y = -10x + 13 \] Next, divide each term by -11 to solve for \( y \): \[ y = \frac{10}{11}x - \frac{13}{11} \] So the equation in slope-intercept form is: \[ y = \frac{10}{11}x - \frac{13}{11} \]