when you first look at thius graph, you should notice two things immedietly.
1. This graph will have a positive slope, because the line is going up.
2. the y-intercept is -2 because that's where it is on the y-axis.
Now, you have been given two points, (2, 1) and (0, -2). You can put these two points into the slope formula, which is: m = [tex] \frac{y2 - y1}{x2 - x1} [/tex] [tex] \frac{(-2) - 1}{0 - 2} [/tex] = [tex] \frac{3}{2} [/tex] = 3/2.
So, now you have your slope and your y-intercept. Now, just put them into y = mx + b form!
y = 3/2x - 2 (it is ubtracting two instead of adding two because it is a negative two.)
Hope this helps!!
~Kiwi