3. What is true about the graph of a system of equations that has infinitely many solutions? A. The lines will have the same slope but different y-intercepts. B. The lines will have the same slope and the same y-intercepts. C. The lines will have different slopes and different y-intercepts. D. The lines will have different slopes but the same y-intercepts.​

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Answer:

B

Step-by-step explanation: for infinitely many solutions the two lines must lie directly on top of one another- so same slope and same y-intercept

The lines in the graph of a system of equations that has infinitely many solutions will have The lines will have the same slope and the same y-intercepts.

What is a slope?

A slope is a ratio that describes the steepness and the direction of a line.

What is the y-intercept?

The y-intercept is the point at which a line touches the y-axis. This means that x=0.

  • A system of equations will have infinitely many solutions when they are the same line or when the two lines coincide on every point that makes up the line.
  • Two lines are the same when the slope and the y-intercept of the lines are also the same.

Thus we can say that the lines in the graph of a system of equations that has infinitely many solutions will have the same slope and the same y-intercepts. The correct answer is option B.

Learn more about slopes and y-intercepts here-https://brainly.com/question/25722412

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