3(y-1)=2x+2

I need to find the slope and I am not sure how to with this equation?

3(y-1) = 2x + 2.

3(y-1) = 2(x+1),
y-1 = ( 2/3)(x+1). Point-slope form.
m = 2/3.

Yay i understand now!!!!!! Thank you so much

Glad I could help.

To find the slope of the equation 3(y-1) = 2x+2, we need to rewrite it in slope-intercept form, which is y = mx + b. In this form, the coefficient of x represents the slope of the line.

Let's start by simplifying the equation:

3(y-1) = 2x+2

Expand the left side:

3y - 3 = 2x + 2

Rearrange the equation to isolate y:

3y = 2x + 5

Divide every term by 3:

y = (2/3)x + 5/3

Now the equation is in slope-intercept form, y = mx + b, where m represents the slope. In this case, the slope is 2/3.

Therefore, the slope of the equation 3(y-1) = 2x+2 is 2/3.