Question 203198: 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
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
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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
Equation of line M:
slope = (5-3)/(2-1) = 2
Since y = mx + b, 3 = 2*1+b ; b = 1
Equation is y = 2x + 1
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Equation of line N:
slope = (-3--1)/(2-1) = -2/1 = -2
Since y = mx + b, -1 = -2*1 + b, b = 1
Equation is y = -2x + 1
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b.what are the co-ordinates of the point of intersection of lines m and n
2x+1 = -2x+1
4x = 0
x = 0
Substitute to solve for "y":
y = 2*0+1
y = 1
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Point of intersection: (0,1)
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c. write the co-ordinates of the intersections of lines m and n with the x-axis
M intersects the x-axis when 0 = 2x+1; x = -1/2
N intersects the x-axis when 0 = -2x+1: x = 1/2
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d. write the co-ordinates of the intersection of lines m and n with the y-axis
Bothe intersect the y-axis at (0,1)
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Cheers,
Stan H.
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