The coordinates below represent two linear equations.
How many solutions does this system of equations have?
Line 1
x y
–1 6
0 4
Line 2
x y
0 7
1 5
A.
0
B.
exactly 1
C.
exactly 2
D.
infinitely many
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OpenStudy (anonymous):
@TheSmartOne
OpenStudy (anonymous):
@chosenmatt
OpenStudy (anonymous):
@confluxepic
OpenStudy (anonymous):
@just_one_last_goodbye
OpenStudy (anonymous):
@StudyGurl14
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OpenStudy (studygurl14):
First find the slope of each line. If the slopes are different, then there is one solution. If the slopes are the same, you will need to find the full equations of each line. If the y-intercepts (b-value of y=mx + b) are different, there are no solutions. If they are the same, there are infinite solutions.
OpenStudy (studygurl14):
There are never two solutions with linear equations
OpenStudy (anonymous):
how can I find the slope of the line with the tables?
OpenStudy (studygurl14):
Use the slope formula.
OpenStudy (anonymous):
ok I know how to do that
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OpenStudy (studygurl14):
Line 1 has points (-1,6) and (0,4)
Line 2 has points (0,7) and (1,5)