y−2 = 3/2 (x + 2) in slope intercept form

Answer 1

To write the equation y - 2 = 3/2(x + 2) in slope-intercept form, we need to solve for y.

First, distribute the 3/2 on the right side:

y - 2 = 3/2(x) + 3/2(2)
y - 2 = 3/2x + 3

Next, move the constant term to the right side by adding 2 to both sides:

y - 2 + 2 = 3/2x + 3 + 2
y = 3/2x + 5

Therefore, the equation y - 2 = 3/2(x + 2) can be written in slope-intercept form as y = 3/2x + 5.