Question
Write y−2=32(x+2)
in slope-intercept form.(1 point)
Responses
y=32+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x
y=32x+5
y equals Start Fraction 3 over 2 End Fraction x plus 5
y=32x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6
y=32x+32
in slope-intercept form.(1 point)
Responses
y=32+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x
y=32x+5
y equals Start Fraction 3 over 2 End Fraction x plus 5
y=32x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6
y=32x+32
Answers
GPT-4o mini
To write the equation \( y - 2 = 32(x + 2) \) in slope-intercept form (which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept), 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 \( y \):
\[
y = 32x + 64 + 2
\]
\[
y = 32x + 66
\]
Thus, the equation in slope-intercept form is \( y = 32x + 66 \).
Based on the responses provided, none of them seem to match this correct form. It appears there may be a misunderstanding or an error in the answer options listed.
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 \( y \):
\[
y = 32x + 64 + 2
\]
\[
y = 32x + 66
\]
Thus, the equation in slope-intercept form is \( y = 32x + 66 \).
Based on the responses provided, none of them seem to match this correct form. It appears there may be a misunderstanding or an error in the answer options listed.