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+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
y=32+5x
Make you give detail on why you think your answer is correct!
To convert the equation y−2=32(x+2) into slope-intercept form, we need to isolate y on one side of the equation.
First, distribute 32 to both x and 2 inside the parentheses:
y−2=32x+64
Next, move the constant term (−2) to the other side of the equation by adding 2 to both sides:
y−2+2=32x+64+2
This simplifies to:
y=32x+66
Now the equation is in the form y=mx+b, where m is the slope and b is the y-intercept. Therefore, the correct answer is y=32x+66.