209k views
2 votes
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.

User Sazzy
by
7.7k points

2 Answers

4 votes
It’s 2 sorry if I’m wrong
User Isaac Anatolio
by
7.5k points
7 votes

Answer: The correct option is

(B) g(x) has a greater slope.

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


f(x)=2x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

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


\textup{slope, m}=2.

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


m=(d-b)/(c-a).

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


m=(5-0)/(4-2)=(5)/(2)=2.5.

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

Thus, slope of g(x) is greater.

Option (B) is CORRECT.

User Colinmarc
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.