SOLUTION: The line l joining the points M(3,4) and N(8,14) cuts the x-axis at A and the y-axis at B. a. Find the general equation of the line l. b. Find the coordinate of Point A. c. Find

Algebra ->  Test  -> Lessons -> SOLUTION: The line l joining the points M(3,4) and N(8,14) cuts the x-axis at A and the y-axis at B. a. Find the general equation of the line l. b. Find the coordinate of Point A. c. Find      Log On


   

Question 567586: The line l joining the points M(3,4) and N(8,14) cuts the x-axis at A and the y-axis at B.
a. Find the general equation of the line l.
b. Find the coordinate of Point A.
c. Find the coordinate of Point B.
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
x1 y1 x2 y2
3 4 8 14

slope m =(y2-y1)/(x2-x1)
(14-4)/(8-3)
(10/5)
m=2

Plug value of the slope and point (3,4) in
Y = m x + b
4.00 = 6 + b
b= 4 - 6
b= -2
So the equation will be
Y = 2 x -2
-2x+y+2=0
This cuts the X axis at A so y=0
plug y=0
-2x=-2
/-2
x=1
A(1,0)
Plug x=0 for y intercept
y=-2
B=(0,-2)
m.ananth@hotmail.ca