how do you do this??

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.

Answer 1

well you only need two points to find an equation of a straight line... just by looking at the pts i can see that:

(1) is y = x

(2) is y = -x

Both lines cross thru (0,0)

You could plot this out and prove it to yourself.

Answer 2

Line m is y=x , and is a line passing through the origin sloping upward at 45 degrees.
Line n is y = -x , and is a line passing through the origin sloping downward at 45 degrees.
Thus all intersections occur at (0,0).

Answer 3

find the equation of both lines. Then use substitution to find the values of x and y.
so *IF* y=2x and y=3x-2 then you would set them equal to find the x value that they intersect.
so
2x=3x-2
-2x -2x
0=x-2
+2 +2
2=x

substitute x and then y=2(2)
y=4
IF that were the equations.


You should be nice and teach her how to do it, even though someone smarter could have just looked at it.

Answer 4

(0,0) for all 3