Question 192569: 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.
Answer by checkley77(12844)   (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.
Slope=(y2-y1)/(x2-x1)=(5-3)/(2-1)=2/1=2
Y=mX+b
3=.5*1+b
b=3-.5
b=2.5 y intercept.
y=.5x+2.5 (red line
The points (1, -1),(2, -3),(8, -15),(50, -99),and(1000,-1999) all lie on line N.
Slope=(-3+1)/(2-1)=-2/1=-2
-1=-2*1+b
b=-1+2
b=1 y intercept.
y=-2x+1 (green line)
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions .5x +2.5 and -2x +1).
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.
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