The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −15 0 −10 1 −5 g(x) g(x) = 2x + 8 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

PART A:

Finding the slope of the function f(x)

Choose any two pairs of coordinate from the table; (-1, -15) and (0, -10)
Let (-1, -15) be (x₁, y₁) and (0, -10) be (x₂, y₂)
Slope = 
Slope of f(x) = 5

The function g(x) is given in the straight line equation form

Where,  is the slope and  is the y-intercept
Slope of g(x) = 2
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g(x) = 2x + 8
Where, the slope (m) = 2 and the y-intercept (c) = 8
The y-intercept of g(x)  is 8

for f(x), we can read the y-intercept when x = 0.
From the table, when x = 0, y = -10
The y-intercept of f(x) is -10

Function g(x) has higher y-intercept