Answer :

We will have the following:

*First: We solve for y:

[tex]-9x+2y=1\Rightarrow2y=9x+1[/tex][tex]\Rightarrow y=\frac{9}{2}x+\frac{1}{2}[/tex]

*Second: We determine two sets of points that belong to the line. In our case we will solve for x = 0 & x = 2. So we would get:

*For x = 0:

[tex]y=\frac{9}{2}(0)+\frac{1}{2}\Rightarrow y=\frac{1}{2}[/tex]

So, we would have the point:

[tex](0,\frac{1}{2})[/tex]

*For x = 1:

[tex]y=\frac{9}{2}(1)+\frac{1}{2}\Rightarrow y=5[/tex]

So, we would have the point:

[tex](1,5)[/tex]

*Third: We graph:

View image CarrollO153180