Write y−2=3/2(x+2) in slope-intercept form.(1 point)
Responses
y=3/2x+6
y equals Start Fraction 3 over 2 End Fraction x plus 6
y=3/2x+32
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
y=3/2x+5
y equals Start Fraction 3 over 2 End Fraction x plus 5
y=3/2+5x
y=3/2x+5
that is a bit lazy dont you think!? give detail
Sure, here are the steps to convert the equation y-2=3/2(x+2) to slope-intercept form:
1. Distribute the 3/2 to both terms inside the parentheses:
y - 2 = 3/2*x + 3/2*2
Simplify:
y - 2 = 3/2*x + 3
2. Add 2 to both sides of the equation:
y - 2 + 2 = 3/2*x + 3 + 2
Simplify:
y = 3/2*x + 5
Therefore, the equation y−2=3/2(x+2) can be written in slope-intercept form as y = 3/2x + 5.