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HELP ME OUT PLEASE SOLVE IT..............

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3 Answers

Using f(x) the formula would be f(x) = 5x + b. The standard form of the slope intercept formula is
y = mx + b. The slope is represented by m, which equal 5. Since you know that f(3) = 12, the only unknown is b. So you simply plug in the known information and solve.
  y = mx + b
12 = 5(3) + b
12 = 15 + b
Subtract 15 from both sides.
b = -3
Prove the formula.
12 = 5(3) - 3
12 = 15 - 3
12 = 12
 
The slope intercept form of a straight line equation is
 
y = m x + b
 
where m = slope, b = y-intercept and y = f(x)
 
Plug in what is given to solve for unknown.
 
given x=3, f(3) = 12 = y, m=5
 
12 =  5(3) + b
solve for b
b = 12 - 15 = -3
 
The resulting linear equation using slope = 5 and b = -3 is
 
y = 5x - 3