Write a function rule for the table of values.

Hey there! Hello!

For this problem, I believe all the question is asking is for you to determine the function that this set of points is represented by. If you get access to some graph paper (or make your own) and plot a few of these points, you can see that there is a pattern. Once you get to do this more often, you can recognize the patterns without doing this step. For example: 

0 – 4.5 = –4.5
–4.5 – 4.5 = –9, so on...

This will reveal that the graph will be linear, which makes your job easy.

–4.5x = y
–4.5(1) = –4.5
–4.5(2) = –9
–4.5(–1) = 4.5

I included a graph of the equation for you reference, you can see that the points will match up with the ones on your table. 

Hope this helped you out! :-)

so the perpendicular line goes through the given pointyou would get a perpendicular line at some random location

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.