Carcass wrote:
In a rectangular coordinate system, which of the following points is intersected by the line connected by the coordinates (5,6) and (21,18)?
A. (9,9)
B. (12,12)
C. (13,13)
D. (12,13)
E. (16,15)
Kudos for the right answer and explanation
One approach is to first find the slope
Slope = (18 - 6)/(21 - 5) = 12/16 =
3/
4IMPORTANT: if the slope is
3/
4, then we can start at (5,6) and move up
3 spaces and then move right
4 spaces to find other points on the line (with INTEGER values)
Start at: (5,6)
Move
3 units up and
4 units to the right to get to the point (9,9) (check answer choices - it's there!)
Answer: A
Cheers ,
Brent