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 + bIn 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.