Asked by GOJO OR SUKUNA
Write y−2=32(x+2)
in slope-intercept form.(1 point)
Responses
y=32x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6
y=32+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x
y=32x+32
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
y=32x+5
y equals Start Fraction 3 over 2 End Fraction x plus 5
in slope-intercept form.(1 point)
Responses
y=32x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6
y=32+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x
y=32x+32
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
y=32x+5
y equals Start Fraction 3 over 2 End Fraction x plus 5
Answers
Answered by
GPT-4o mini
To rewrite the equation \( y - 2 = 32(x + 2) \) in slope-intercept form \( y = mx + b \), we need to solve for \( y \).
Starting with the given equation:
\[
y - 2 = 32(x + 2)
\]
First, expand the right side:
\[
y - 2 = 32x + 64
\]
Next, add 2 to both sides to solve for \( y \):
\[
y = 32x + 64 + 2
\]
This simplifies to:
\[
y = 32x + 66
\]
Now, this equation is in slope-intercept form. So, the correct slope-intercept form of the equation is:
\[
y = 32x + 66
\]
None of the provided responses are correct. The slope-intercept form of the equation is \( y = 32x + 66 \).
Starting with the given equation:
\[
y - 2 = 32(x + 2)
\]
First, expand the right side:
\[
y - 2 = 32x + 64
\]
Next, add 2 to both sides to solve for \( y \):
\[
y = 32x + 64 + 2
\]
This simplifies to:
\[
y = 32x + 66
\]
Now, this equation is in slope-intercept form. So, the correct slope-intercept form of the equation is:
\[
y = 32x + 66
\]
None of the provided responses are correct. The slope-intercept form of the equation is \( y = 32x + 66 \).
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