A student took a test which had 6 questions. He would score 8 points on the test if all his answers are correct. If y represents the student's score when he got x questions incorrect, which graph best represents this situation?
m=(y2-y1)/(x2-x1) so if we take the endpoints (0,0) and (6,8)
m=(8-0)/(6-0)
m=8/6
m=4/3, and since we know we have the point (0,0) we know the line is just:
y=mx, using m found above...
y=4x/3
So the graph that will match this line is one that has a point on the origin and has a positive slope of 4/3. So another point other than the origin that will be quite clear is the point (3, 4)
