# Systems of linear equations

1. Why do intersecting lines represent a unique solution? Give examples to support your answer.

2. What is the significance of the name 'linear equation' to its graphical representation?

3. The solutions of line m are (3, 9), (5, 13), (15, 33), (34, 71), (678, 1359), and (1234, 2471).

The solutions of line n are (3, -9), (5, -11), (15, -21), (34, -40), (678, -684), and (1234, -1240).

a. Form the equations of both the lines. Show your work.

b. What are the co-ordinates of the point of intersection of lines m and n?

c. Write the co-ordinates of the intersections of lines m and n with the x-axis.

d. Write the co-ordinates of the intersection of lines m and n with the y-axis.

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#### Solution Summary

This discusses the graphs of equations and the solutions of systems of equations.