Explanation:
(1) Create a table containing a few values of x and y
y - 3 = ½(x + 2)
y = ½(x + 2) + 3
x y
-10 -1
-6 1
0 3
6 7
10 9
(2) Plot your points
Draw dots at the coordinates of each point.
(3) Draw the graph
Draw a smooth line through the points.
Extend the line in both directions to the edges of the plot area.
Your graph of y - 3 = ½(x+2) should look like the figure below.
Have a beautiful day!