Please helpppp now 99 pointsThe table below represents a linear function f(x) and the equation represents a function g(x):x f(x)−1 −150 −101 −5g(x)g(x) = 2x + 8Part 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:

In order to find the slope of [tex]f(x)[/tex] we can use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So, using first two pairs from the given table we have:
[tex]m=\frac{-10-(-15)}{0-(-1)}=\frac{-10+15}{1}=\frac{5}{1}=5[/tex]

Every linear function has the following general look:
[tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the function.

Applying that general look to our function [tex]g(x)[/tex] we see that it's slope equals 2.

So, we can say that value of [tex]f(x)[/tex] is growing two and half more times faster then value of [tex]g(x)[/tex] as their slopes' ratio is 5:2.

Part B:
The y-intercept of function is it's value in case x is equal 0.
Using the given table we find that the y-intercept of [tex]f(x)=-10[/tex]

As for [tex]g(x)[/tex], let's substitute x value with 0 and solve the equation:
[tex]g(x)=2\cdot0+8=8[/tex]

So, the function [tex]g(x)[/tex] has greater y-intercept then function [tex]f(x)[/tex].