Explanation
Slope:
The equation point slope so the slope is the number right after the =. So in this case its 2. That means that starting at the y-intercept which we'll find later you can graph it by going up 2 points and then over 1. That's because a slope can always be unsimplifyed into a fraction: 2/1 the top number is the amount of points up and the bottom is the amount of points to the side.
Y-intercept:
To find y intercept you can use the equation and just solve it. To do that first distribute:
y-2=2(x-2)
multiply the -2 by 2. That equals -4
y-2=-4
+2 +2
y=-2
You add two to each side to even it out.
-2 is the y-intercept.
Graphing:
To graph the new equation:
Y=2x-2
(y=slope x-y intercept)
Start at the y intercept (-2) and go up 2 points and over 1.) Repeat until graphed.