Given the function f(x) = 2x − 5 and g(x), which function has a greater slope?
x g(x)
2 0
4 5
6 10
1. f(x) has a greater slope.
2. g(x) has a greater slope.
3. the slopes of f(x) and g(x) are the same.
4. the slope of g(x) is undefined.

 The correct option is

(B)  g(x) has a greater slope.

Step-by-step explanation:  We are given the following two functions :

and

x                    2                      4                    6

g(x)                0                      5                     10

Comparing equation (i) of f(x) with the slope-intercept form y = mx+c, we get

Now, we know that if a linear function contains two points (a, b) and (c, d), then its slope is given by

Since (2, 0) and (4, 5) are two points on g(x), so its slope will be

Therefore, slope of f(x) = 2 and slope of g(x) = 2.5.

Thus, slope of g(x) is greater.

Option (B) is CORRECT.  

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step-by-step explanation: