Question

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

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. <span />

Answer 2

Step One: Determine two coordinates written as (x,y)
(1,4) (2,5)
Step Two: Use the formula$\frac{y_{2} - y_{1}}{x_{2}-x_{1}}$
$\frac{5-4}{2-1}$
Step Three: Simplify to identify the slope
<em /><u />$\frac{1}{1} = 1$
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
<u />$4-1 = 1 + b - 1 \\ 3 = b \\ b = 3$
Step Eight: Rewrite your equation
y = 1x + 3
OR 
y = x + 3
(It's more likely you'll see it written the second way)