What is the slope of the line through (-7/2,-3) and (-5, 5/2)?

1 Answer
Nov 21, 2016

#-11/3#

Explanation:

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You should first simplify each point by converting the fraction to a decimal, then plot the points on a graph. Once the points are plotted, you can draw a line connecting both points. This won't give you an exact answer, but it will help you by confirming if your algebraic answer makes sense. Look at the graph above for an example.

In order to find the answer, you can use a graphing calculator, or set up a table of the X and Y values to determine the slope.

The change in X is determined by the difference between both X points (remember that the points are plotted (X,Y)):

-3.5
-5
The difference is -1.5

The change in Y is determined the same way:

-3
2.5

The difference is +5.5

Delta Y over delta X is the change in rise over the change in run, therefore:

#-5.5/1.5# is simplified to = #-11/3#