Pick two points. For example, (0,3) and (2,4)
First, find the slope:
[tex]\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 } = \frac{ 4 - 3}{ 2 - 0}=\boxed{\bf{ \frac{ 1}{ 2}}}[/tex]
The slope is 1/2.
Now we have this much of the equation:
y = 1/2x + b
Plug in the point (0,3) to find the value of b
3 = (1/2)(0) + b
b = 3
Your final equation is y = 1/2x + 3.
