Question

Two quantities are related as shown in the table below:

x. y
2. 3
4. 4
6. 5
8. 6

Which equation best represents the relationship?

Answer 1

First you need to find the slope and in order to do that you need to use the following equation:

y-y
——
x-x

The y with the greatest value goes first and then the lowest. Same thing with x.

Choose two coordinates from the table

Ex: (4,4) & (2,3)

4-3=1
——-
4-2=2

The slop is 1/2 or 0.5

There is a y intercept which is 2. You get 2 when you divide 1 by 2

So the equation would be

y=1/2x+2 or y=0.5x+2


Hope this helped