SOLUTION: Function Value from Slope and run: Suppose f is a linear function such that f(3)=7. If the slope of f is 2.7, then what is f(5)? I have no clue how to set this problem up!

Question 159949: Function Value from Slope and run: Suppose f is a linear function such that f(3)=7. If the slope of f is 2.7, then what is f(5)?
I have no clue how to set this problem up!
The secons question is: Run from slope and rise: Suppose that f is a linear function with slope -3.4 and that f(1)=6.What value of x gives f(x)=0?
Please help. I am getting so far behind because I don't get this! Thank you. Andie
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose f is a linear function such that f(3)=7. If the slope of f is 2.7, then what is f(5)?
y = 2.7x + b
7 = 2.7*3 + b
b = -1.1
------
EQUATION:
f(x) = 2.7x - 1.1
f(5) = 2.7*5 - 1.1
f(5) = 12.4
=================

The second question is: Run from slope and rise: Suppose that f is a linear function with slope -3.4 and that f(1)=6.
--------
y = -3.4x + b
6 -3.4*1 + b
b = 9.4
EQUATION:
f(x) = -3.4x + 9.4
-----------------
What value of x gives f(x)=0?
0 = -3.4x + 9.4
3.4x = 9.4
x = 2.765
==============
Cheers,
Stan H.

RELATED QUESTIONS
Suppose f is a linear function such that f(7) = 3. If the slope of f is 3.1, then what is (answered by josgarithmetic,MathTherapy)

Linear Equation from slope and point: Suppose that f is a linear function with slope 2.6... (answered by stanbon)

Suppose f is a linear function such that f(4) = 6. If the slope of f is 2.9, then what is (answered by Tatiana_Stebko)

Suppose that f is a linear function with slope 2.4 and that f(7)=-3. What value of x... (answered by John10)

Suppose that f is a linear function with slope -3.2 and that f(1) = 8. What value of x... (answered by ikleyn)

If f(x) is a linear function such that f(-4)=1 and f(5)=7, what is the value of... (answered by josgarithmetic)

Suppose f(x) is a linear function such that f(-1/2)=-7 and f(1)=-3. What is... (answered by amarjeeth123)

Suppose f(x) is a linear function such that f(-1/2) = -7 and f(1) = -3. What is f(-3)?... (answered by Edwin McCravy,math_helper)

Suppose f is a linear function such that f(2)= 4 and f(5)= 19. What is slope m of f?... (answered by rothauserc)