What is the function? can you include a step by step explanation?

f(x)=5x+8 or

y=5x+8

Step-by-step explanation:

You can pick two random points on the chart like (4,28) and (6,38) to find the slope you can do 38-28/6-4 which simplifies to 10/2 or 5. This is your slope.

Your y intercept is what y equals when x=0 which in your case is 8. If you want to write it in mx+b form it is f(x)=5x+8

m=slope

b=y-intercept

Hello! I'm glad to help and assist you on your question!  Now, when your thinking about a graph this is what the two-way table is showing you.   I would rather try keeping this answer rather easy though, so let me try my best!

This is really easy, but it's harder to explain with typing... So bare with me.

So, this is called a two-way table; if you haven't heard before, when you're using one, you can use to represent a graph as well!  To make it easier for you to understand, every coordinate in those squares represent a dot on a graph.  

But, there is a distance that gets higher as the number goes up.  So, the distance between -1, 3 is 4. Every time the numbers go up, so the 0,8 is 8 apart.  So, on a graph every dot is 4 apart from each other. I hope you understand, if there is anything else I can help on, I am willing to do so!  

Thanks!

d is correct

step-by-step explanation: