Expert: Richard J. Raridon - 10/29/2006

Question
The solutions of line m are (3, 3), (5, 5), (15, 15), (34, 34), (678, 678), and (1234, 1234).
The solutions of line n are (3, -3), (5, -5), (15, -15), (34, -34), (678, -678), and (1234, -1234).

Form the equations of both the lines.

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

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

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

Thanks for your assistance.

Age 50 (this is my real age) just started back to school after many years out of school.


Answer
You only need two points to determine a line.  The standard equation for a line is y =mx+b where m is the slope and b is the y-intercept.
So for line m you have 3 = m(3)+b and 5 = m(5)+b to give you m=1, b=0 and your line is y = x
For line n you have -3 = m(3)+b and -5 = m(5)+b
giving you m=-1, b=0 and a line y = -x
The answer to the next three questions is (0,0)