A) In order to determine the slope of the line, use the following formula:

where (x1,y1) and (x2,y2) are two points on the line.
Based on the given graph, use the following points:
(x1,y1) = (-3,0)
(x2,y2) = (0,2)
Replace the previous values into the formula for m:

Hence, the slope of the line is 2/3.
B) To write the line equation, use the following general equation:

Use (xo,yo) = (0,2) and m = 2/3 and solve for y:

Hence, the equation of the line is y = 2/3 x + 2