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+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 32x + 6
The correct answer is y=32x+6.
To write the equation y−2=32(x+2) in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, follow these steps:
1. Distribute the 32 on the right side of the equation:
y - 2 = 32x + 64
2. Add 2 to both sides of the equation to isolate the y-term:
y = 32x + 66
The equation y = 32x + 66 is now in slope-intercept form. The slope is 32 and the y-intercept is 66.