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