Write y−2=32(x+2) in slope-intercept form.(1 point)

Question

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 \( y \).

1. Distribute \( 32 \) on the right side: \[ y - 2 = 32x + 64 \]

2. Next, add \( 2 \) to both sides to solve for \( y \): \[ y = 32x + 64 + 2 \] \[ y = 32x + 66 \]

Now we can match it to the provided options:

The correct slope-intercept form is: \[ y = 32x + 66 \]

Unfortunately, none of the provided responses match this answer exactly. Thus, confirm that the correct form derived from the given equation is \( y = 32x + 66 \).