A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect.

If all variables represent real numbers you can graph the equation by plotting enough points to recognize a pattern and then connect the points to include all points.

Step-by-step explanation:

Let total number of video games purchased from electronics store = m

 So,→ x=m,or y=m, Represents linear equation which represents number of video games purchased.(1)

For purchasing, m video games ,let amount of money spent is given by

     →y=mx, x is amount of money spent on buying a single video game.

                         (2)

Equating (1) and (2)

→One line is Passing through origin and another line cuts either x axis at (m,0) or y axis at point (0,m).

So, there will be one point of Intersection of these two intersecting lines.

Their slopes must be different

Step-by-step explanation:

The key feature for the graphs of two linear functions to be able to intercept is that they must have different slopes. Otherwise, (in case of same slope)the lines will be parallel and never intercept.

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