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

y=32x+6

Answer 1

To convert the equation \( y - 2 = 32(x + 2) \) into slope-intercept form \( y = mx + b \), we will first distribute and then isolate \( y \).

Starting with the original equation:

\[
y - 2 = 32(x + 2)
\]

Distributing \( 32 \):

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

Next, we isolate \( y \) by adding \( 2 \) to both sides:

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

Simplifying gives:

\[
y = 32x + 66
\]

Now the equation is in slope-intercept form \( y = mx + b \).

Therefore, the correct form is:

**y = 32x + 66**.