Question

The table below represents a linear function f(x) and the equation represents a function g(x).





x

f(x)


−1

−11


0

−1


1

9


g(x)

g(x) = 5x + 1



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

Answer 1

Do you know what the slope of g(x) is?
Which number in the function y = 5x + 1 gives you the slope?

Answer 2

I am not sure what to do, do I find the slope first?

Answer 3

for the function mx + b the slope is m

Answer 4

compare this with 5x + 1 will give you the slope of g(x)

Answer 5

if i telll you the slope of 2x + 3 is 2 what do you think the slope of 5x + 1 would be?

Answer 6

the slope of 2x + 2 is also 2 and the slope of 7x - 3 is 7 so slope of 5x + 1 will be what?

Answer 7

when the function is written in the general form mx + b, m is the slope
so if m is replaced by 5 the slope will be what?

Answer 8

its not complicated

Answer 9

g(x) = mx + b - slope = m
g(x) = 5x = 1 - slope = ?

Answer 10

dont worry about the b or the 1