Question

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

Answer 1

(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)
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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.
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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.