Question
Put in slope intercept form, then give the slope and \( y \)-intercept below \( -5 x-5 y=13 \) The slope is The \( y \)-intercept is \( > \) Next Question
Ask by Higgins Bond. in the United States
Mar 03,2025
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Tutor-Verified Answer
Answer
The equation in slope-intercept form is \( y = -x - \frac{13}{5} \). The slope is -1, and the y-intercept is -13/5.
Solution
To convert -5x - 5y = 13 to slope-intercept form (y = mx + b):
1. Start with the equation:
-5x - 5y = 13
2. Add 5x to both sides:
-5y = 5x + 13
3. Divide each term by -5:
y = -x - 13/5
Thus, the equation in slope-intercept form is y = -x - 13/5.
The slope (m) is -1.
The y-intercept (b) is -13/5.
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Simplify this solution The Deep Dive
To put the equation \(-5x - 5y = 13\) in slope-intercept form (which is \(y = mx + b\)), first solve for \(y\): 1. Add \(5x\) to both sides: \(-5y = 5x + 13\) 2. Divide everything by \(-5\): \(y = -x - \frac{13}{5}\) So, in slope-intercept form, it's \(y = -x - 2.6\). The slope is \(-1\) and the \(y\)-intercept is \(-2.6\).
