Write 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 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.