Answer:
The slopes of f(x) and g(x) are the same.
Step-by-step explanation:
The slope-intercept form 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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We have:
[tex]f(x)=3x+6\to m_f=3[/tex]
From the table:
[tex](1,\ 3),\ (2,\ 6)\\\\m_g=\dfrac{6-3}{2-1}=\dfrac{3}{1}=3[/tex]
[tex]m_f=m_g=3[/tex]
