SOLUTION: Of the points listed below, which lie on the following line? y= -x -59 (0, 59) (11, 44) (60, 0) (13, 50) (0, -59) (8,51)

Algebra ->  Graphs -> SOLUTION: Of the points listed below, which lie on the following line? y= -x -59 (0, 59) (11, 44) (60, 0) (13, 50) (0, -59) (8,51)       Log On


   



Question 148529:
Of the points listed below, which lie on the following line?
y= -x -59

(0, 59)
(11, 44)
(60, 0)
(13, 50)
(0, -59)
(8,51)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let's see if (0,59) is a solution.


y=+-x+-59 Start with the given equation.


%2859%29=+-%280%29+-59 Plug in x=0 and y=59.


59=+-%280%29+-59 Evaluate and simplify the left side.


59=-59 Evaluate and simplify the right side.


Since the equation is not true, this means that (0,59) is not a solution.

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Let's see if (11,44) is a solution.


y=+-x+-59 Start with the given equation.


%2844%29=+-%2811%29+-59 Plug in x=11 and y=44.


44=+-%2811%29+-59 Evaluate and simplify the left side.


44=-70 Evaluate and simplify the right side.


Since the equation is not true, this means that (11,44) is not a solution.





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Let's see if (60,0) is a solution.


y=+-x+-59 Start with the given equation.


%280%29=+-%2860%29+-59 Plug in x=60 and y=0.


0=+-%2860%29+-59 Evaluate and simplify the left side.


0=-119 Evaluate and simplify the right side.


Since the equation is not true, this means that (60,0) is not a solution.



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Let's see if (13,50) is a solution.


y=+-x+-59 Start with the given equation.


%2850%29=+-%2813%29+-59 Plug in x=13 and y=50.


50=+-%2813%29+-59 Evaluate and simplify the left side.


50=-72 Evaluate and simplify the right side.


Since the equation is not true, this means that (13,50) is not a solution.


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Let's see if (0,-59) is a solution.


y=+-x+-59 Start with the given equation.


%28-59%29=+-%280%29+-59 Plug in x=0 and y=-59.


-59=+-%280%29+-59 Evaluate and simplify the left side.


-59=-59 Evaluate and simplify the right side.


Since the equation is true, this means that (0,-59) is a solution.



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Let's see if (8,51) is a solution.


y=+-x+-59 Start with the given equation.


%2851%29=+-%288%29+-59 Plug in x=8 and y=51.


51=+-%288%29+-59 Evaluate and simplify the left side.


51=-67 Evaluate and simplify the right side.


Since the equation is not true, this means that (8,51) is not a solution.


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Summary:

So the only solution is (0,-59)