Plz ! will give table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −9 0 −1 1 7 g(x) g(x) = 3x − 2 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). part b: which function has a greater y-intercept? justify your answer.

First thing you need to do is find out what f(x) is. You're already given g(x). To find f(x), first find the slope with the slope formula (m = y2-y1/x2-x1). I'm going to use (-1,-9) and (0,-1). -1-(-9) = 8 and 0-(-1) = 1. This means that the slope is 8/1 or 8. Then you plug it in (y = 8x+b). I'm going to plug in the first pair, so -9 = 8(-1) + b. This means that -9 = -8+b and b = -1.
A: The slope of f(x) is 8 while the slope of g(x) is 3.
B: f(x) has a greater y intercept since -1 > -2.