Respuesta :

Answer:

The answer is C.

Step-by-step explanation:

In order to find the x-intercept and y-intercept, you have to substitute 0 into each expression :

[tex]let \: x = 0[/tex]

[tex]0 - 3y = 6[/tex]

[tex] - 3y = 6[/tex]

[tex]y = 6 \div ( - 3)[/tex]

[tex]y = - 2[/tex]

[tex]let \: y = 0[/tex]

[tex]2x - 0 = 6[/tex]

[tex]2x = 6[/tex]

[tex]x = 6 \div 2[/tex]

[tex]x = 3[/tex]

Given that the x-intercept is 3 and y-intercept is -2. By looking at the picture, graph C fits the coordinates, (3,0) and (0,-2).