SOLUTION: I really really need your help. The points (1, 3), (2, 5), (8, 17), (50, 101), and (1000, 2001) all lie on line M. The points (1, -1), (2, -3), (8, -15), (50, -99), and (1000,

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Question 179190: I really really need your help.
The points (1, 3), (2, 5), (8, 17), (50, 101), and (1000, 2001) all lie on line M.
The points (1, -1), (2, -3), (8, -15), (50, -99), and (1000, -1999) all lie on line N.
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.
I formed the equation as y=2x+a for line m and y=-2x+b for line N
I used (1,3) and (2,5) and came up that a=1 for line M. I used (1,-1)(2,-3) and came up with b=1.
I don't understand how you find problems B, C, & D. Will you please help.
Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
Your answers are correct so far.
You did the hardest part already.

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B) When the lines intersect they have the same y values.
Set the equations equal to each other and solve.

Then use either to solve for y.

The intersection point is (0,1).
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Graphing the two lines might help visualize what's going on.

Line M in red and Line N in green.
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C)Line M intersects the x axis when .

Line M intersects the x-axis at (-1/2,0).
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Line N also intersects the x axis when .

Line N intersects the x-axis at (1/2,0).
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D) Line M intersects the y axis when .

Line M intersects the y-axis at (0,1).
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Line N also intersects the y axis when .

Line N also intersects the y-axis at (0,1).
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Here's a case where graphing the lines really help visualize what's going on.