What is the driving time for a 2100-mile trip if you drive at an average speed of 45 miles per hour?
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ANSWER
EXPLANATION
Given the points P(2,-1) and Q(-9,-6),the coordinates of the point that partition the directed line segment PQ in the ratio 3:2 is given by
Where m=3 and n=2
The point is
When put in matrix form, the coefficients of
... 3x -2y = 7
... x + 4y = 2
look like
The determinant is 3×4 - 1×(-2) = 14.