For a linear function f, f(-1)=3 and f(2)=4 find an equation for f

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Another way to answer this question is that you know any linear function can always be written y = mx + b, where m is the slope.

Find m first, (4 - 3)/(2 - -1)=1/3.

Then plug in one point to solve for b, 4 = (1/3)(2) + b, solve...

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Another way to answer this question is that you know any linear function can always be written y = mx + b, where m is the slope.

Find m first, (4 - 3)/(2 - -1)=1/3.

Then plug in one point to solve for b, 4 = (1/3)(2) + b, solve for b and b = 10/3.

Replace m and b with their values, and y = (1/3)x + (10/3).

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