Question

Y - 2=3/2 (x+2) in slope intercept form

Answer 1

To put the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to solve for y.

Starting with the given equation:

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

Distribute (3/2) to both terms within the parenthesis:

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

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

Now, isolate Y by adding 2 to both sides of the equation:

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

Y = (3/2)x + 5

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