Question

Write and linear function f with f(0)=2 and f(5)=-3

Answer 1

• f(x) = -x + 2

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Slope-intercept form of a line:

• f(x) = mx + b, where m-slope, b- y-intercept

The line has points:

• (0, 2) and (5, - 3)

The first point represents the y-intercept, b = 2.

The slope is:

• m = (- 3 - 2)/(5 - 0) = - 5/5 = - 1

The line is:

• f(x) = - x + 2