To graph the equation, we would pick three values for x and determine the corresponding y values.
firstly, we would divide both sides of the equation by 2. It becomes
y = 3x/2 + 1
For x = 1,
y = 3*1/2 + 1 = 3/2 + 1 =5/2 = 2.5
For x = 2,
y = 3*2/2 + 1 = 6/2 + 1 = 3 + 1 = 4
For x = 3,
y = 3*3/2 + 1 = 9/2 + 1 = 4.5 + 1 = 5.5
We would plot the corresponding x and y values on the graph
You can see the line that appeared on the graph. It joined the 3 plotted points