Answer:
B. g(x) has a greater slope.
Step-by-step explanation:
The slope-intercept of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
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[tex]f(x)=2x-5\to m=2[/tex]
From the table of function g(x) we have:
x = 2 → y = 0
x = 4 → y = 5
Calculate the slope:
[tex]m=\dfrac{5-0}{4-2}=\dfrac{5}{2}=2.5[/tex]
The slope of f(x) is equal to 2.
The slope of g(x) is equal to 2.5.
2 < 2.5
