Below are two different functions, f(x) and g(x). what can be determined about their slopes?
f(x)= 3x − 3

the function g(x) going through 0, 2 and 1, 5

the function f(x) has a larger slope.
the function g(x) has a larger slope.
they both have the same slope.
the relationship between slopes cannot be determined.

Let's find the slope of the line through (0,2) and (1,5)

m = (y2 - y1)/(x2 - x1)
m = (5-2)/(1-0)
m = 3/1
m = 3

So the slope of g(x) is 3. The slope of f(x) is also 3. The two functions have the same slope.

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