SOLUTION: The following are a set of points, where there is one unknown value. Use linear interpolation to determine the unknown value, y. Provide your answer to two decimal places. (x0,y0)

Question 1160199: The following are a set of points, where there is one unknown value. Use linear interpolation to determine the unknown value, y. Provide your answer to two decimal places. (x0,y0)=(10,80), (x1,y1)=(40,5), (x,y)=(x,43.85)
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The following are a set of points, where there is one unknown value. Use linear interpolation to determine the unknown value, y. Provide your answer to two decimal places.
(,)=(,)
(,)=(,)
(,)=(,)
all points lie on same line
find equation of the line using two of the given points
The equation of a line is typically written as where is the slope and is the y-intercept.
first use points to find the slope

so far your equation is:
.........use one point to calculate

your equation is:

now calculate missing coordinate (,)

answer:
(,)

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The following are a set of points, where there is one unknown value. Use linear interpolation to determine the unknown value, y. Provide your answer to two decimal places. (x0,y0)=(10,80), (x1,y1)=(40,5), (x,y)=(x,43.85)
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Tho the instruction to use linear interpolation implies that it's a straight line, it should be specified.
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