SOLUTION: I am no good at this graphing and coordinates. Please help me. Find the coordinates of the points that divide the line segment joining (4,5) and (10,14) into three equal parts.

Algebra ->  Coordinate-system -> SOLUTION: I am no good at this graphing and coordinates. Please help me. Find the coordinates of the points that divide the line segment joining (4,5) and (10,14) into three equal parts.      Log On


   

Question 89669: I am no good at this graphing and coordinates. Please help me.
Find the coordinates of the points that divide the line segment joining (4,5) and (10,14) into three equal parts.
If at all possible, I need this ASAP
Thank you so much for your time.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the slope of this line (and segment) is (14-5)/(10-4) or 9/6 or 3/2

this means that a 3 unit change in y corresponds with a 2 unit change in x

there is a 9 unit difference in the y coordinates ... three equal parts means 3 units each

so start at one end and add 3 to the y coordinate and 2 to the x coordinate ... (4,5)(6,8)(8,11)(10,14)