Question

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

Answer 1

Y = 3/2 X + 5

Answer 2

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.

First, distribute the (3/2) to both terms inside the parentheses:
y - 2 = (3/2)x + 3

Next, move the -2 term to the other side of the equation by adding 2 to both sides:
y - 2 + 2 = (3/2)x + 3 + 2

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

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

Answer 3

Yes, you are correct. The equation y = (3/2)x + 5 is the slope-intercept form of the given equation y - 2 = (3/2)(x + 2).