Write y - 2 = 3 2 (x+2 ) in slope-intercept form
To write the equation y - 2 = 3 2 (x + 2) in slope-intercept form, we need to isolate y on one side of the equation.
Distribute the 3/2 to the terms inside the parentheses:
y - 2 = (3/2) * (x + 2)
y - 2 = (3/2)x + (3/2)(2)
y - 2 = (3/2)x + 3
Now add 2 to both sides of the equation:
y = (3/2)x + 3 + 2
y = (3/2)x + 5
The slope-intercept form of the equation is y = (3/2)x + 5.