The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −7
0 −1
1 5
g(x)
g(x) = 5x − 4
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)

We can see that the slope of f(x) is steeper than that of g(x). It also has a higher y-intercept.  

Step-by-step explanation:

In order to compare these two, we first need to find the equation of f(x). We can do that by first finding the slope using the slope formula and two points. For the purpose of this one, we'll use the points (1, 5) and (0, -1)

m(slope) = (y2 - y1)/(x2 - x1)

m = (5 - -1)/(1 - 0)

m = 6/1

m = 6

Now that we have the slope, we can use that and any point in point-slope form to find the equation. We just need to solve for y.

y - y1 = m(x - x1)

y + 1 = 6(x - 0)

y + 1 = 6x

y = 6x - 1

f(x) = 6x - 1

Now that we have the value of f(x), we can see that the slope is steeper than that of g(x). It also has a higher y-intercept.  

e.

step-by-step explanation:

because there are always 10 numbers in a phone number.