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

x f(x)
−1 −3
0 0
1 3
g(x)

g(x) = 7x + 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.

(0,0)(1,3) = (3 - 0) / (1 - 0) = 3

slope = 3
equation for this line is y = 3x...and since u have (0,0) as a point on this line, ur y int is (0,0)

g(x) = 7x + 2...slope here is 7 and y int is (0,2)

The slope of f(x) = 3. I found this using the slope formula (y2 - y1) / (x2 - x1).
The slope of g(x) = 7. Because in y = mx + b form, the slope is in the m position.
g(x) has a steeper slope.

f(x) has a y int of (0,0)...the line cuts thru the origin.

g(x) has a y int of (0,2)...because in y = mx + b form, the y int will be in the b position.

So, g(x) has a greater y int.