SOLUTION: 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
Algebra.Com
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.
RELATED QUESTIONS
1.The points (1, 3), (2, 5), (8, 17), (50, 101), and (1000, 2001) all lie on line M.
The (answered by stanbon)
I really really need your help.
The points (1, 3), (2, 5), (8, 17), (50, 101), and... (answered by Fombitz)
1. How do we write the equation of a horizontal line? What would be an example?
2. How... (answered by Earlsdon)
1. How do we write the equation of a horizontal line? What would be an example?
2. How... (answered by stanbon)
The points )1,3) (2,5) (8,17) (50,101) and (1000,2001) all lie on line M. The points... (answered by Alan3354,solver91311)
The points (1, 3), (2, 5), (8, 17), (50, 101), and (1000, 2001) all lie on line M.
The... (answered by Earlsdon)
The points(1,3),(2,5),(8,17),(50,101) and (1000, 2001) all lie on line M.
The... (answered by stanbon)
How do we write the equation of a vertical line? what would be an example?
The points... (answered by stanbon)
Decide whether the three points lie on the same line. If the points do lie on the same... (answered by Alan3354)