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=32x+5
y equals Start Fraction 3 over 2 End Fraction x plus 5

y=32+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x

y=32x+32

Answer 1

To convert the equation \( y - 2 = 32(x + 2) \) into slope-intercept form, we need to solve for \( y \).

Start by distributing the 32 on the right side of the equation:

\[
y - 2 = 32x + 64
\]

Next, add 2 to both sides to isolate \( y \):

\[
y = 32x + 64 + 2
\]

This simplifies to:

\[
y = 32x + 66
\]

Thus, the slope-intercept form of the equation is:

\[
y = 32x + 66
\]

None of the responses you provided matches this form, so it seems that there might be an error in the options. The correct form is \( y = 32x + 66 \).