Question

Tell whether the set of ordered pairs satisfies a linear function. A table is

also provided, ((3,6),(6,12).(9,18).(12,24)

Answer 1

`\begin{array}{ccll} x&y\\ \cline{1-2} 3&\stackrel{2(3)}{6}\\\\ 6&\stackrel{2(6)}{12}\\\\ 9&\stackrel{2(9)}{18}\\\\ 12&\stackrel{2(12)}{24}\\\\ x&\stackrel{2(x)}{2x} \end{array}\qquad \implies \qquad y = 2x`

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

• constant change

however, is the same cat wearing different costumes.

this one, has a slope of 2.

Answer 2

I think the answer is that the pairs satisfies a linear function