SOLUTION: A line in the xy-plane has a slope of 2/3 and passes through the origin. Which of the following points lies on the line? a) 0, 2/3 b) 2, 3 c) 6,4 d) 9,4

Algebra ->  Linear-equations -> SOLUTION: A line in the xy-plane has a slope of 2/3 and passes through the origin. Which of the following points lies on the line? a) 0, 2/3 b) 2, 3 c) 6,4 d) 9,4       Log On


   

Question 1062948: A line in the xy-plane has a slope of 2/3 and passes through the origin. Which of the following points lies on the line?
a) 0, 2/3
b) 2, 3
c) 6,4
d) 9,4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Using the point slope form of a line,
y-0=%282%2F3%29%28x-0%29
y=%282%2F3%29x
So for each point, use the function to determine if it is on the line,
x=0
y=%282%2F3%290
y=0
So (0,2/3) is not on the line (which you could have guessed since it passes through the origin (0,0)).
Do the same for the remaining three points.