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Are the Points On the Same Line?

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Indicate whether the given points below are on line 1, on line 2, on both line 1 and line 2, or on neither one of the two lines:

Line 1: -4x -y+3=0
Line 2: 4x +3y -1=0

(x,y).............Line 1...........Line 2.........Both Lines..........Neither Line

( 1,-1)
(2,-5)
(4, 6)

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Solution Summary

In a detailed, step by step response, this solution studies if given points are on the same line or not, and uses a check point method for each scenario. All calculations are provided.

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Indicate, by checking the appropriate box, whether the given points below are on line 1 , on line 2 , on both line 1 and line 2 , or on neither one of the two lines:

Line 1: -4x -y+3=0
Line 2: 4x +3y -1=0

Check point (1, -1) on line 1
-4x - y + 3 = 0
-4 + 1 + 3 = 0
0 = ...

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