Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]x + 2y = 7[/tex]
Required
Draw the graph
First, we identify at least 2 possible values of x and y
Let [tex]x = 1[/tex]
Solve for y
[tex]x + 2y = 7[/tex]
[tex]1 + 2y = 7[/tex]
[tex]2y = 6[/tex]
[tex]y = 3[/tex]
So, a point is: [tex](1,3)[/tex]
Let [tex]x = 3[/tex]
Solve for y
[tex]x + 2y = 7[/tex]
[tex]3 + 2y = 7[/tex]
[tex]2y = 7 -3[/tex]
[tex]2y = 4[/tex]
[tex]y = 2[/tex]
So, another point is: [tex](3,2)[/tex]
Plot [tex](1,3)[/tex] and [tex](3,2)[/tex] on the graph, then draw a straight line through both points
See attachment for graph