The slope of the graph of the equation y=2x-2 is 2. What is the y-intercept?

y-intercept =

The equation y = 2x-2 can be written as y = 2x + (-2)

Adding a negative number is the same as subtraction. Eg: 2 + (-3) = 2-3

The equation y = 2x + (-2) is in the form y = mx+b where

m = 2 is the slope

b = - 2 is the y intercept

Therefore the final answer is simply - 2

The graph crosses the y axis at - 2 on the vertical number line. The y intercept as an ordered pair is (0,-2). The x coordinate is always 0 for the y intercept.