Write y−2=32(x+2)

Question

in slope-intercept form.(1 point)
Responses

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

y=32x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6

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

y=32x+5

Answer 1

To convert the equation $y-2=32(x+2)$ into slope-intercept form (which is $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept), we can follow these steps:

1. Distribute the $32$ on the right side: $$y-2=32x+64$$

2. Add 2 to both sides to solve for $y$: $$y=32x+64+2$$ $$y=32x+66$$

Now, we have the slope-intercept form: $y=32x+66$.

None of the provided responses match this solution. The correct expression in slope-intercept form is:

$$y=32x+66$$