245,477 views
10 votes
10 votes
Find the constant of proportions k as a fraction in simplest form. The enter an equation for the relation ships between x and y.The constant of proportions, k is equal to?The equation is y = ?

Find the constant of proportions k as a fraction in simplest form. The enter an equation-example-1
User Ahmed Rashad
by
3.2k points

1 Answer

23 votes
23 votes

Notice that for every 6 units increment in the x-values in the table, there is a 2 units increment in the y-values.

Therefore, the constant of proportions is:


\begin{gathered} (2)/(6)\rightarrow(1)/(3) \\ k=(1)/(3) \end{gathered}

To find the equation, we'll use this constant as the slope. Using this, point

(6, 2) of the table and the slope-point form:


\begin{gathered} y-2=(1)/(3)(x-6) \\ \rightarrow y-2=(1)/(3)x-2 \\ \rightarrow y=(1)/(3)x \end{gathered}

This way the equation is:


y=(1)/(3)x

User Andrew Philpott
by
3.0k points