[tex] \text{Kevin said that the line with equation, }y=2x \text{ passes through (0,0) and (1,2)}.\\ \\ \text{He was true, because when x=0, he get }y=2(0)=0, \text{ so one poitn is (0,0)}\\ \text{and when x=1, he get }y=2(1)=2, \text{ so the other point is (1,2)}.\\ \\ \text{Again he said for the equation }y=-3x, \text{ it passes through (0,0) and }(1,-3).\\ \text{His statement is correct in this case as well, because when x=0, he get} [/tex]
[tex] y=-3(0)=0, \text{ so the corresponding point is (0, 0)}.\\ \text{and when x=1, he will get, }y=-3(1)=-3. \text{ so other point is }(1,-3)\\ \\ \text{So the statement that in general the lines with equation of the form }y=mx\\ \text{always pass through the points (0,0) and (1,m) is CORRECT.}\\ \\ \text{because at x=0, the line gives }y=m(0)=0, \text{ so one point is (0,0)}.\\ \text{and for x=1, the line gives, }y=m(1)=m, \text{ so the other point is }(1,m) [/tex]
Hence, the statement of Kevin is Correct.