The given equation of a line is:
[tex]y=\frac{1}{2}x+1[/tex]
It is required to sketch the graph.
To do this, find two points that the line passes through, plot these points on the graph, and join them with a straight line.
Find the value of y for x=0:
[tex]y=\frac{1}{2}(0)+1=0+1=1[/tex]
Hence, a point on the graph is (x,y)=(0,1).
Find the value of y for x=2:
[tex]y=\frac{1}{2}(2)+1=1+1=2[/tex]
Another point on the graph is (x,y)=(2,2).
Plot these points on the graph:
Join the points with a straight line to graph the given linear function:
