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The graphed line shown below is y=-4x-12. Which equation, when graphed with the given equation, will form a system that has no solution?

The graphed line shown below is y4x12 Which equation when graphed with the given equation will form a system that has no solution class=
The graphed line shown below is y4x12 Which equation when graphed with the given equation will form a system that has no solution class=

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harpazo

I guess one more does not hurt.

Notice that choice D is equivalent to the given equation y = -4x - 12.

The only equation that does not cross the given equation is y = -4x.

They have THE SAME SLOPE. This means they are parallel and thus lead to NO SOLUTION.

ANSWER: y = -4x

profantoniofonte

Answer:

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

Step-by-step explanation:

A Linear System with no solution, therefore inconsistent, is graphically represented by a pair of parallel lines.

According to Analytic Geometry, a parallel line shares the same slope.

Given the options, the only parallel line to [tex]y=-4x-12[/tex] is [tex]y=-4x[/tex] Since [tex]y=-4(x+3)[/tex] despite having the same slope, is actually the same line [tex]y=-4x+12[/tex]

So [tex]y=-4x[/tex] will form a system that has no solution.

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