Respuesta :

Graph C is the correctly depicts the equation because it has a y intercept of 4 and the slope of the line is positive 2
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Answer:

Option C.

Step-by-step explanation:

The given function is

[tex]y=2x-4[/tex]

We need to find the graph of the given function.

Substitute x=0 in the given function to find the y-intercept.

[tex]y=2(0)-4[/tex]

[tex]y=-4[/tex]

y-intercept of the function is (0,-4).

Substitute y=0 in the given function to find the x-intercept.

[tex]0=2x-4[/tex]

[tex]-2x=-4[/tex]

[tex]x=2[/tex]

x-intercept of the function is (2,0).

Plot (0,-4) and (2,0) on a coordinate place and connect them by a straight line.

Only graph C intersect the x-axis at (2,0) and y-axis at (0,-4).

Therefore, the correct option is C.