Question 950050:
The coordinates below represent two linear equations. How many solutions does this system of equations have?
Line 1
x y
–4 8
4 6
Line 2
x y
–1 1
3 5
A.
0
B.
exactly 1
C.
exactly 2
D.
infinitely ma
Found 2 solutions by rfer, MathLover1:
Answer by rfer(16322)   (Show Source):
Answer by MathLover1(20850)  (Show Source):
You can put this solution on YOUR website! Line 1
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| Solved by pluggable solver: Find the equation of line going through points |
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-4, 8) and (x2, y2) = (4, 6).
Slope a is  .
Intercept is found from equation  , or  . From that,
intercept b is  , or  .
y=(-0.25)x + (7)
Your graph:
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Line 2
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first find equations of the given lines:
| Solved by pluggable solver: Find the equation of line going through points |
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-1, 1) and (x2, y2) = (3, 5).
Slope a is  .
Intercept is found from equation , or  . From that,
intercept b is , or  .
y=(1)x + (2)
Your graph:
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so, your system is:
 ........eq.2
 ........eq.2
_______________________left sides are equal, then right sides are equal too
 ...solve for
now find 
........eq.2
these two lines intersecting in one point and it is (, )
so,the answer to the question how many solutions does this system of equations have is:
B.
 
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