Question

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

Answer 1

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 \( y = 32x + 66 \).