Question

russ is solving an equation where both sides are linear expressions. he sets the expressions equal to y and graphs the system finding that they are the same line. how should russ interpret this outcome?

there are no intersection points.
there is exactly one intersection point.
there are exactly two intersection points.
there are infinitely many intersection points.

Explanation:

Analyze the graphical representation of the system

The problem states that Russ graphs a system of two linear equations and finds that they represent the same line.

Determine the number of intersection points

Since both equations represent the exact same line, every point on that line is a point of intersection for the system. A line contains an infinite number of points.

Select the correct interpretation

Because the two lines lie directly on top of each other, there are infinitely many intersection points, meaning the system has infinitely many solutions.

Answer:

• There are no intersection points.
• There is exactly one intersection point.
• There are exactly two intersection points.
• There are infinitely many intersection points (Correct answer)