SOLUTION: 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

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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): You can put this solution on YOUR website!
B) (4,6)
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:




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:




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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