Respuesta :

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:

Ver imagen ElenoraO347790
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