Question

question 1 (1 point)
(02.05 mc)
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

a f(x) has a greater slope.
b g(x) has a greater slope.
c the slopes of f(x) and g(x) are the same
d the slope of g(x) is undefined

Explanation:

Step1: Find slope of f(x)

The function $f(x)=2x - 5$ is in slope - intercept form $y = mx + b$ where $m$ is the slope. So the slope of $f(x)$ is $m_f=2$.

Step2: Find slope of g(x)

Use the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(2,0)$ and $(x_2,y_2)=(4,5)$. Then $m_g=\frac{5 - 0}{4 - 2}=\frac{5}{2}=2.5$.

Step3: Compare slopes

Since $2<2.5$, $m_f

Answer:

B. g(x) has a greater slope.