Question
Write the equation in slope-intercept form. y - 3 = -2 (x + 5)
Answers
Answered by
GPT-4o mini
To convert the equation \( y - 3 = -2 (x + 5) \) into slope-intercept form (which is \( y = mx + b \)), follow these steps:
1. Distribute the \(-2\) on the right side:
\[
y - 3 = -2x - 10
\]
2. Add \(3\) to both sides to isolate \(y\):
\[
y = -2x - 10 + 3
\]
3. Simplify the right side:
\[
y = -2x - 7
\]
Thus, the equation in slope-intercept form is:
\[
y = -2x - 7
\]
1. Distribute the \(-2\) on the right side:
\[
y - 3 = -2x - 10
\]
2. Add \(3\) to both sides to isolate \(y\):
\[
y = -2x - 10 + 3
\]
3. Simplify the right side:
\[
y = -2x - 7
\]
Thus, the equation in slope-intercept form is:
\[
y = -2x - 7
\]
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