Write y−2=3/2(x+2) in slope-intercept form.(1 point)

Question

Responses

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 to both terms inside the parentheses:
y−2 = 3/2 * x + 3/2 * 2

This simplifies to:
y−2 = 3/2 * x + 3

Next, move the -2 over to the right side of the equation by adding 2 to both sides:
y = 3/2 * x + 3 + 2

This simplifies to:
y = 3/2 * x + 5

Thus, the equation y−2=3/2(x+2) in slope-intercept form is y = 3/2 * x + 5.