Question

Write an equation of the form y = kx for the relationship shown in the graph.

Answer 1

In order to find the equation that is represented by the points in the graph, we just need to use one or more points to calculate the value of k in the equation y = kx.

So we have that:

`\begin{gathered} y=kx \\ (2,11)\colon \\ 11=k\cdot2\to k=5.5 \\ (4,22)\colon \\ 22=k\cdot4\to k=5.5 \\ (6,33)\colon \\ 33=k\cdot6\to k=5.5 \\ (8,44)\colon \\ 44=k\cdot8\to k=5.5 \end{gathered}`

So the value of k is 5.5 for all points used, confirming that we have a proportional relationship, and the equation will be:

`y=5.5x`