13 Calculate the slope of the line passing through the given
13.) Calculate the slope of the line passing through the given points. Then indicate whether the line rises, falls, is horizontal, or is vertical.
(-2,4) and (-1,-1)
Solution
Slope of a line passing through the points (x1, y1) and (x2, y2) is (y2-y1) / ( x2-x1) or Rise / Run
Rise means how many units you move up or down from point to point.
Run means how far left or right you move from point to point.
when a line has a positive slope it rises up left to right.
when a line has a negative slope it falls left to right.
Here, (x1, y1) = (-2, 4) and (x2, y2) = (-1, -1)
Slope of the line =(-1-4)/ -1+ 2 = - 5/1 = - 5 < 0
Since the slope is negative, the line falls as it moves from left to right.
