Question

Look at the graph shown:

Answer 1

Pick two points. For example, (0,3) and (2,4)

First, find the slope:
$\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 } = \frac{ 4 - 3}{ 2 - 0}=\boxed{\bf{ \frac{ 1}{ 2}}}$

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.

Answer 2

The answer is y=1/2x+3 

look at pic below: