Find the value of p so that the linear function f (x) with f (p) = 3 and f (-2) = 0 has a slope of 3.

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Mathematics

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27 May, 09:32

Find the value of p so that the linear function f (x) with f (p) = 3 and f (-2) = 0 has a slope of 3.

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Alijah Flowers · Answer 1

When it has a slope of 3 it means y=3x+k

Given the condition that f (-2) = 0

So, replace the y with 0 and x with - 2

0=3*-2+k

0=-6+k

k=6

So the line is y=3x+6

when f (p) = 3,

3x+6=3

3x=-3

X=-1

So,

p=-1