SOLUTION: Write a linear function f such that it has the indicated function values: f(-1)=4, f(-3)=8

Question 252783: Write a linear function f such that it has the indicated function values:
f(-1)=4, f(-3)=8
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Write a linear function f such that it has the indicated function values:
f(-1)=4, f(-3)=8
.
The problem gives you two points:
(-1, 4)
and
(-3, 8)
.
Slope of the line:
m = (8-4)/(-3- -1)
m = (8-4)/(-3+1)
m = 4/(-2)
m = -2
.
Plug one point (-1, 4) and slope -2 into "point-slope" form:
y - y1 = m(x - x1)
y - 4 = -2(x - -1)
y - 4 = -2(x + 1)
y - 4 = -2x - 2
y = -2x + 2 (this is the "slope-intercept" of the line)

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