Write y−2=3/2(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=32x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6
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 3
pick one of the repsonses
Apologies for the mistake in my previous response. The correct response is:
y equals Start Fraction 3 over 2 End Fraction x plus 6
To convert the equation y−2=3/2(x+2) into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:
1. Distribute the 3/2 to the terms inside the parentheses:
y - 2 = (3/2)x + 3/2(2)
y - 2 = (3/2)x + 3/2(2)
y - 2 = (3/2)x + 3
2. Move the constant term (-2) to the other side of the equation by adding 2 to both sides:
y - 2 + 2 = (3/2)x + 3 + 2
y = (3/2)x + 5
Therefore, the equation y−2=3/2(x+2) in slope-intercept form is y = (3/2)x + 5.