SOLUTION: 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

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: 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       Log On

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Question 83635: 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.

Thank You
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
first equation: slope=(5-3)/(5-3)=2/2=1.
3=1*3+b, 3=3+b, b=3-3, b=0.
thus we have the line equation y=x (red line-m) (intersect=0,0)
second equation:slope=(-3-3)/(5-3)=-6/2=-3.
-3=-3*3+b, -3=-9+b. -3+9=b. b=6.
thus we have the line equation y=-3x+6 (green line-n) (intersect=2,6)
+graph%28+300%2C+300%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%2C+y+=+-3x+%2B6%29+ (graph 300x300 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x and y = -3x +6).
y=x now substitute in the second equation
x=-3x+6
x+3x=6
4x=6
x=6/4
x=3/2 answer.
y=3/2 answer.