PLZ HELP FAST!!! WILL GIVE MEDAL!!The 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.

Respuesta :

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.