Question

Mike compared the y-intercept of the graph of the function
f(x) = 5x + 12 to the y-intercept of the graph of the ilnear function that
includes the points from the table below. What is the difference when the y-
intercept of f (x) is subtracted from the y-intercept of g (x)?
Х
1 3 5 6
g(x) 10 14 18 20

Answer 1

Answer:

• -4

Step-by-step explanation:

Given function

• f(x) = 5x + 12

From the table we get the function g(x), use pairs (1, 10) and (3, 14)

The slope:

• m = (14 - 10)/(3 - 1) = 4/2 = 2

The y-intercept:

• 10 = 2(1) + b
• b = 10 - 2
• b = 8

The function g(x) is found as:

• g(x) = 2x + 8

The y- intercept of f (x) is subtracted from the y-intercept of g (x):

• 8 - 12 = -4

Answer 2

Answer:

(the answer is • -4)

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