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