Well you would have to put the equation in slope- intercept form which is y = mx + b where the mx represents the slope and the b represents your y-intercept on the graph. So, first you need to multiply the -2/3 to everything in the parentheses which would equal y - 2 = -2/3x - 2/3. Then, you need to get the y by itself on the left side of the equation by adding 2 on both sides because what you do to one side you have to do to the other when cancelling out numbers. So when you add 2 to both sides youre left with y = -2/3x + 4/3. Now that your equation is in slope-intercept form, you can identify the slope. The slope of the equation is the "mx" part of y = mx + b from before so that means the slope is -2/3.
