SOLUTION: Suppose f is a linear function such that f(4) = 6. If the slope of f is 2.9, then what is f(7)?

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Question 586423: Suppose f is a linear function such that f(4) = 6. If the slope of f is 2.9, then what is f(7)?
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
a linear function is y=mx%2Bb
where m is a slope, since the slope m=2.9
y=2.9x%2Bb
If f%284%29+=+6 substitute x=4%2C+y=6 in the function to find b
6=2.9%2A4%2Bb solve for b
b=6-11.6
b=-5.6
Hence y=2.9x-5.6
Substitute x=7 to find f%287%29
f%287%29=2.9%2A7-5.6=14.7
f%287%29=14.7