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+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 equals Start Fraction 3 over 2 End Fraction plus 5 x
y=32x+32
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
The correct answer is:
y = 32x + 6
To write the equation y−2=32(x+2) in slope-intercept form, we need to solve for y.
First, distribute the 32 to both terms inside the parentheses: y−2=32x+64.
Next, isolate the y-term by adding 2 to both sides of the equation: y−2+2=32x+64+2.
Simplifying the equation gives us y=32x+66.
So, the correct answer is: y=32x+66.