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: