Question

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

Answer 1

Answer: The third option.

Step-by-step 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:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-11}{2-1}=1$

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.