Question 163717: 3. 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)   (Show Source):
You can put this solution on YOUR website! Y=mX+b
line M:
slope=(13-9)/(5-3)=4/2=2
9=2*3+b
b=9-6
b=3 for the y intercept.
y=2x+3 (red line)
line N:
slope=(-11+9)/(5-3)=-2/2=-1
-9=-1*3+b
b=-9+3
b=6
y=-x+6 (green line)
 (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, of TWO functions 2x +3 and -x +6).
Solutionis (1,5)
x axis intercepts are -1.5 red & 6 green.
y axis intercepts are 3 red & 6 green.
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