SOLUTION: What is the solution to the system? Line 1 x y –1 –2 1 2 Line 2 x y –2 10 4 1 ( ____ ,_____ )

Algebra ->  Linear-equations -> SOLUTION: What is the solution to the system? Line 1 x y –1 –2 1 2 Line 2 x y –2 10 4 1 ( ____ ,_____ )       Log On


   



Question 918894: What is the solution to the system?


Line 1
x y
–1 –2
1 2

Line 2
x y
–2 10
4 1


( ____ ,_____ )


Found 2 solutions by ewatrrr, Alan3354:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Line 1
x y
–1 –2
1 2 m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29 = -4/-2 = 2
y-2 = 2(x-1) 0r y = 2x
..................
Line 2
x y
–2 10
4 1 m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29 = 9/-6 = -3/2
y - 1 = (-3/2)(x-4) 0r y = (-3/2)x +7
the solution to the system:
2x = (-3/2)x+7
4x = -3x + 14
7x = 14
x = 2 and y = 4 2%2A2
Ordered pair(2,4) the solution to the system

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the solution to the system?

Line 1
x y
–1 –2
1 2
Line 2
x y
–2 10
4 1
==================
Put the points in parentheses:
Line 1: (-1,-2) and (1,2)
Line 2: (-2,10) and (4,1)
----
Get equations of the lines.
Line 1: (-1,-2) and (1,2)
Find the slope, m
m = diffy/diffx = (-2-2)/(-1-1) = 2
Use y = mx + b and either point to find b, the y-intercept
Using (1,2): 2 = 2*1 + b --> b = 0
y = 2x is an equation of Line 1
----
Get the eqn of line 2 the same way.