Question
Rewrite the following equation in slope-intercept form. \( -5 x-15 y=-17 \) Write your answer using integers, proper fractions, and improper fractions in simplest form.
Ask by Moran Turnbull. in Guam
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation in slope-intercept form is \( y = -\frac{1}{3}x + \frac{17}{15} \).
Solution
1. Start with the original equation:
\[
-5x - 15y = -17
\]
2. Isolate the \( y \)-term by adding \( 5x \) to both sides:
\[
-15y = 5x - 17
\]
3. Divide every term by \(-15\) to solve for \( y \):
\[
y = \frac{5x}{-15} + \frac{-17}{-15}
\]
4. Simplify the fractions:
\[
y = -\frac{1}{3}x + \frac{17}{15}
\]
Thus, the equation in slope-intercept form is:
\[
y = -\frac{1}{3}x + \frac{17}{15}
\]
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Simplify this solution Mind Expander
To rewrite the equation \( -5x - 15y = -17 \) in slope-intercept form, we need to solve for \( y \). First, isolate \( y \): 1. Add \( 5x \) to both sides: \[ -15y = 5x - 17 \] 2. Now, divide each term by \( -15 \): \[ y = -\frac{5}{15}x + \frac{17}{15} \] 3. Simplifying \( -\frac{5}{15} \) gives \( -\frac{1}{3} \): \[ y = -\frac{1}{3}x + \frac{17}{15} \] Thus, the equation in slope-intercept form is: \[ y = -\frac{1}{3}x + \frac{17}{15} \]
