[tex]\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[/tex]
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.
