Question
Write y−2=32(x+2)
in slope-intercept form.(1 point)
in slope-intercept form.(1 point)
Answers
GPT-4o mini
To convert the equation \( y - 2 = 32(x + 2) \) into slope-intercept form (\( y = mx + b \)), follow these steps:
1. Start with the given equation:
\[
y - 2 = 32(x + 2)
\]
2. Distribute the \( 32 \) on the right side:
\[
y - 2 = 32x + 64
\]
3. Add \( 2 \) to both sides to isolate \( y \):
\[
y = 32x + 64 + 2
\]
\[
y = 32x + 66
\]
The equation in slope-intercept form is:
\[
y = 32x + 66
\]
1. Start with the given equation:
\[
y - 2 = 32(x + 2)
\]
2. Distribute the \( 32 \) on the right side:
\[
y - 2 = 32x + 64
\]
3. Add \( 2 \) to both sides to isolate \( y \):
\[
y = 32x + 64 + 2
\]
\[
y = 32x + 66
\]
The equation in slope-intercept form is:
\[
y = 32x + 66
\]