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).

Part B: Which function has a greater y-intercept? Justify your answer.

Linear function : (just so u know, f (x) is y)

slope formula : (y2 - y1) / (x2 - x1)

(-1,-11) (0,-1)

slope = (-1 - (-11) / (0 - (-1) = (-1 + 11) / (0 + 1) = 10/1 = 10

now we take y - mx + b

slope (m) = 10

(0.-1) ... x = 0 and y = - 1

now we sub, we r looking for b, the y int

-1 = 10 (0) + b

-1 = b

so the equation of the line is : y = 10x - 1 ... so the slope is 10 and the y int is - 1

function : g (x) = 5x + 1

y = 5x + 1

y = mx + b ... In this form, the m is ur slope and the b is ur y int ... so the slope is 5 and the y int is 1

The linear function f (x) has a slope of 10 compared to the g (x) function, which has a slope of 5

g (x) = 5x + 1 has the greater y int.