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Question 1150824: A line segment has one end point A(4, 3) and slope -5/3. Find the coordinates of another possible endpoint B.
Found 2 solutions by josgarithmetic, jim_thompson5910:
Answer by josgarithmetic(39620)   (Show Source):
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Start at (4,3). Move down 5 units and then move to the right 3 units to arrive at (7,-2). This is one possible location of point B if we use integer or whole number coordinates for x and y.
Repeat the action of "move down 5, move to the right 3" to go from (7,-2) to (10,-7) which is one more possible location for point B. This process can be repeated as many times as you like so there are infinitely many answers.
Here is the graph to visually summarize whats going on
The point B could be at  or it could be at  , etc etc.
A single straight line goes through points A, , , ...
side note: the slope is equal to the rise over the run, ie,
slope = rise/run
slope = -5/3
rise = -5
run = 3
The negative rise value tells us that we're moving downward as we move from left to right
you can also think of rise and run as
rise = change in y = change in vertical direction
run = change in x = change in horizontal direction
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