Question 312747
Pick two points. This graph includes a point that is the y intercept. So let's use that.

{{{y = mx + b}}} where m is the slope and b is the y intecept
Use points (0,1) and (2,2)
The y intercept is 1 (as given by the point (0,1)). So b = 1
Now let's find the slope
m = (y2 - y1)/(x2-x1)
m = (2 -1)/(2-0) = 1/2

The equation for the line is {{{y = (1/2)x + 1}}}
and the slope is 1/2