If a system of linear equations has no solution, what do you know about the slopes and y-intercepts of the graphs of the equations?

A
The slopes of the graphs are the same and the y-intercepts of the graphs are the same.

B. The slopes of the graphs are the same and the y-intercepts of the graphs are different

C. The slopes of the graphs are different and the y-intercepts of the graphs are the same.

D. The slopes of the graphs are different and the y-intercepts of the graphs are different.​

Respuesta :

Answer:

B. The slopes of the graphs are the same and the y-intercepts of the graphs are different

Step-by-step explanation:

The lines will also be parallel

The slopes and y-intercepts of the graphs of the equations should be option B.  The slopes of the graphs are the same and the y-intercepts of the graphs are different

Slopes and y-intercept:

In the case when the linear equation system does not show any kind of solution so here the slope of the graph should be the same while on the other hand, the y-intercept of the graph should not be similar which means it is different.

hence, The slopes and y-intercepts of the graphs of the equations should be option B.  The slopes of the graphs are the same and the y-intercepts of the graphs are different

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