No, this is completely wrong. In the equation y=mx+c, m and c are real numbers. The results you gave for c and m, (0,7) and (5,-7), are points.
Points are represented by a pair of numbers separated by a comma with parenthesis around the whole thing. An example of a point is (-5, 19).
I will solve this for you since you seem to be lost. But for now on you have to use our hints to find out the answers to future questions.
m = slope = change in y divided by the change in x.
Find two points on the graph. One point is Q=(-2, 0) and another point is P = (0, 3). Since y goes from 0 to 3 its change is +3. Since x goes from -2 to 0 its change is +2. Therefore the slope = m = 3/2.
Now whenever you have y = mx+c what happens in you let x=0? y = 0x + c or y = c. So when x=0, y=c. But you have the point P = (0,3). That is when x=0 we have y=3. So c=3.
Now y = mx + c becomes y = (3/2)x+3