Question

Determine a relationship between the x- and y- values. write an equation.

x =1 2 3 4
y = 4 5 6 7

Answer 1

The relationship here between the x and y values can be seen in an equation, y=x+3, since every y value is three more than its corresponding x-value.

Answer 2

Step One: Determine two coordinates written as (x,y)
(1,4) (2,5)
Step Two: Use the formula
`(y_(2) - y_(1))/(x_(2)-x_(1))`

`(5-4)/(2-1)`
Step Three: Simplify to identify the slope

`(1)/(1) = 1`
Step Four: Plug your slope (m) into the equation y=mx+b
y = 1x + b
Step Five: Using a coordinate of your choice, plug x and y in to their respective places. (I'm using (1,4))
4 = 1*1 + b
Step Six: Simplify

`4 = 1 +b`
Step Seven: Isolate b

`4-1 = 1 + b - 1 \\ 3 = b \\ b = 3`
Step Eight: Rewrite your equation
y = 1x + 3
OR
y = x + 3
(It's more likely you'll see it written the second way)