Question
Write y−2=32(x+2)
in slope-intercept form.(1 point)
Responses
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
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
y=32+5x
in slope-intercept form.(1 point)
Responses
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
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
y=32+5x
Answers
GPT-4o mini
To write the equation \( y - 2 = 32(x + 2) \) in slope-intercept form (which is \( y = mx + b \)), we need to solve for \( y \).
1. Distribute \( 32 \) on the right side:
\[
y - 2 = 32x + 64
\]
2. Add \( 2 \) to both sides to isolate \( y \):
\[
y = 32x + 64 + 2
\]
\[
y = 32x + 66
\]
Thus, the equation in slope-intercept form is \( y = 32x + 66 \).
It seems like this exact option is not presented in your responses. If you were expecting a specific format or simpler version related to fractions as shown, check that they align properly. Based on what I see, the correct representation in slope-intercept form is indeed \( y = 32x + 66 \).
1. Distribute \( 32 \) on the right side:
\[
y - 2 = 32x + 64
\]
2. Add \( 2 \) to both sides to isolate \( y \):
\[
y = 32x + 64 + 2
\]
\[
y = 32x + 66
\]
Thus, the equation in slope-intercept form is \( y = 32x + 66 \).
It seems like this exact option is not presented in your responses. If you were expecting a specific format or simpler version related to fractions as shown, check that they align properly. Based on what I see, the correct representation in slope-intercept form is indeed \( y = 32x + 66 \).