SOLUTION: The points (3, 9), (5, 13), (15, 33), (34, 71), (678, 1359), and (1234, 2471) all lie on line M. The points (3, -9), (5, -11), (15, -21), (34, -40), (678, -684), and (1234, -1240)

Algebra ->  Linear-equations -> SOLUTION: The points (3, 9), (5, 13), (15, 33), (34, 71), (678, 1359), and (1234, 2471) all lie on line M. The points (3, -9), (5, -11), (15, -21), (34, -40), (678, -684), and (1234, -1240)      Log On


   

Question 169998: The points (3, 9), (5, 13), (15, 33), (34, 71), (678, 1359), and (1234, 2471) all lie on line M.
The points (3, -9), (5, -11), (15, -21), (34, -40), (678, -684), and (1234, -1240) 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) About Me  (Show Source):
You can put this solution on YOUR website!
SLOPE FOR M=(13-9)/(5-3)=4/2=2
Y=mX+b
9=3*2+b
9=6+b
b=9-6
b=3
Y=2X+3 (RED LINE-M)
SLOPE FOR N=(-11+9)/(5-3)=-2/2=-1
-9=-1*3+b
-9-3+b
b=-9+3
b=-6
Y=-X-6 (GREEN LINE-N)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x+%2B3%2C+-x+-6%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x +3 and -x -6).