Question

What line represents the relationship between r and s shown in the table?

Answer 1

Answer: The third option.

Explanation:

You can write the following equation of the line of the exercise:

`y=mx+b`

Where:

y=s

x=r

m is the slope.

b is the intersection of the line with the y-axis (Identified as "s").

The slope can be calculated as following:

`m=(y_2-y_1)/(x_2-x_1)=(12-11)/(2-1)=1`

As you can see in the graph, when r=0, s=10, therefore, the intersection of the line with the y-axis (Identified as "s") is:

b=10

Therefore, the equation is:

`y=x+10`

Then, you must look for a graph that has a slope 1 and that the line intersects the y-axis (Identified as "s") at 10 (r=0, s=10)

This would be the third graph.