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