Write y−2=32(x+2) in slope-intercept form.(1 point)
Responses
y=32x+32
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
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=32x+5
The correct answer is: y = 32x + 5.
To write the equation in slope-intercept form, we need to isolate the y variable on one side of the equation. Let's start by distributing 32 to the terms inside the parentheses:
y - 2 = 32(x + 2)
y - 2 = 32x + 64
Next, let's isolate the y variable by adding 2 to both sides of the equation:
y - 2 + 2 = 32x + 64 + 2
y = 32x + 66
Thus, the equation y - 2 = 32(x + 2) in slope-intercept form is y = 32x + 66.