Slope-Intercept Form Quick Check
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Question
Write y−2=32(x+2) in slope-intercept form.(1 point)
Responses
y=32x+5
y equals Start Fraction 3 over 2 End Fraction x plus 5
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
The correct answer is y=32x+6.
To write the equation y−2=32(x+2) in slope-intercept form, we need to isolate y on one side of the equation.
First, distribute the 32 to both terms inside the parentheses:
y−2=32x+64
Next, move -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
So, the equation in slope-intercept form is y=32x+66.