What is the slope of the line represented by the table below?

Question

x y
5 12
20 42            
30 62 A.


B.


C.


D. 
55 112
85 172

Answer 1

If x =5, y = 12

If x = 20, y = 42

If x = 30, y = 62

 

If you look closely, you can see that you are multiplying the x by 2 and adding 2 more to the product.

 

y = 2x + 2

 

y = 2(5) + 2 = 12

y = 2(20) + 2 = 42

y = 2(30) + 2 = 62

y = 2(55) + 2 = 112

 

This equation is in y = mx + b form, where m is the slope.

 

Therefore, the slope is 2.

 

You can also plot the points on a graph to see the slope.