Question

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?

Answer 1

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)