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.Com
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)   (Show Source): You can put this solution on YOUR website!
Line 1
x y
–1 –2
1 2 m = = -4/-2 = 2
y-2 = 2(x-1) 0r y = 2x
..................
Line 2
x y
–2 10
4 1 m = = 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
Ordered pair(2,4) the solution to the system
Answer by Alan3354(69443)   (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.

RELATED QUESTIONS

Can you please help me? What is the solution to the system? Line 1 x y –1 –2 (answered by Alan3354,KMST)
What is the solution to the system? Line 1 x y –2 –4 –1 –1 Line 2 x y (answered by Alan3354)
What is the solution to the system? Line 1 x y –1 9 3 –3 Line 2 x y –1 –1 2 5 (answered by Alan3354)
Okay I need to solve system of linear equations Line 1: y= -1/2 x Line 2: y=x... (answered by solver91311)
Okay I need to solve system of linear equations Line 1: y= -1/2 x Line 2: y=x what... (answered by solver91311)
1. Consider these tables for Line 1 and Line 2. Line 1 x y 0 1 3 4 Line 2 x y 0 (answered by Boreal)
what is the solution to the system of equations? 1. -x - y -z= 2 2. -x - y-2 z= 2.3. -x (answered by Alan3354)
what is the solution to each system of equations ? if there is no solution , explain ... (answered by Alan3354)
What is the solution of the​ system? Find the ordered pair x^2+y^2=4... (answered by Boreal,MathLover1)