Given the equation:
[tex]-2x+3y=-1[/tex]The given equation represents a line
To graph the line, we need two points lying on the line
We will substitute with two values for x and find the corresponding values of y
So, when x = 5
[tex]\begin{gathered} -2\cdot5+3y=-1 \\ -10+3y=-1 \\ 3y=10-1=9 \\ y=\frac{9}{3}=3 \end{gathered}[/tex]And when x = -4
[tex]\begin{gathered} -2\cdot-4+3y=-1 \\ 8+3y=-1 \\ 3y=-1-8=-9 \\ y=-\frac{9}{3}=-3 \end{gathered}[/tex]So, the line passes through the points (5, 3) and (-4, -3)
We will draw the line segment connecting the points then extend it from both sides
The graph of the equation will be as shown in the following picture
