Given the equation of the line:
[tex]\frac{3}{4}y-2x=6[/tex]
To graph the line, we need two points lying on the line
We will graph the line with the help of the intercepts
when x = 0
[tex]\begin{gathered} \frac{3}{4}y=6 \\ y=\frac{4\cdot6}{3}=\frac{24}{3}=8 \end{gathered}[/tex]
so, the y-intercept = (0, 8)
When y = 0
[tex]\begin{gathered} -2x=6 \\ x=\frac{6}{-2}=-3 \end{gathered}[/tex]
So, the x-intercept = (-3, 0)
The line passes through the points (-3, 0) and (0, 8)
The graph of the line will be as shown in the following picture:
