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Find the equation that passes through the points (8,10) and (4,5). Give your results using function notation

1 Answer

8 votes

Answer:

f(x) = 5/4x

Explanation:

The equation of the line can be found using the 2-point form of the equation of a line:

y -y1 = (y2 -y1)/(x2 -x1)(x -x1)

This can be rearranged to the desired funtional form.

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Using the given points (x1, y1) = (8, 10) and (x2, y2) = (4, 5), we have ...

y -10 = (5 -10)/(4 -8)(x -8)

y = (-5/-4)(x -8) +10 = (5/4)x . . . . . add 10 and simplify

The equation can be written ...

f(x) = 5/4x

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