Find the constants m and b in the linear function f (x) = mx + b so that f (3) = 1 and the straight line representd by f has slope - 7.

Question

Mathematics

Dutchess

25 January, 07:11

Find the constants m and b in the linear function f (x) = mx + b so that f (3) = 1 and the straight line representd by f has slope - 7.

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Answers (2)

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Akira Brock · Answer 1

M = slope so here m = - 7

when x is 3, f (3) = 1

so

1 = - 7 (3) + b

b = 22

m = - 7 and b = 22

Audi · Answer 2

Use the model y=f (x) = mx+b.

Fact #1: x=3, y=1 = > 1 = m (3) + b

Fact #2: m=-7

Substitute - 7 for m in the first equation. Find b.

Then m=-7, and b=?