The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 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:
x            f(x)
-1           -5
0            -1
1             3

slope of f(x) = (3 +1)/(1-0) = 4/1 = 4
b = -1
equation
f(x) = 4x - 1

g(x) = 2x − 7
y = mx + b where m = slope
in this case, slope = 2

The bigger absolute value of the slope- the steeper the graph. So function 
f(x) = 4x - 1 has greatest steep graph 


Part B:
y intercept when x = 0
so 
f(x) = 4x - 1 has y intercept = -1
g(x) = 2x − 7 has y intercept = -7

function A has a greater y-intercept