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den301095 [7]
3 years ago
5

Which of the points listed below is not on the line with equation 7y+2=3x-5

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer: Second option.

Step-by-step explanation:

Given the folllowing Linear Equation:

7y+2=3x-5

You need to substitute the coordinates of each point given in the options into the equation and then evaluate.

1) Substituting  (2, -\frac{1}{7}) into the equation, you get:

7(-\frac{1}{7})+2=3(2)-5\\\\-1+2=6-5\\\\1=1\ (TRUE)

2) Substituting the point (3, -\frac{3}{7}). you get:

7(-\frac{3}{7})+2=3(3)-5\\\\-3+2=9-5\\\\-1=4\ (FALSE)

3) Apply the same procedure using the point (1, -\frac{4}{7}):

 7(-\frac{4}{7})+2=3(1)-5\\\\-4+2=3-5\\\\-2=-2\ (TRUE)

4)  Apply the same procedure using the point (-1, -\frac{10}{7})

 7(-\frac{10}{7})+2=3(-1)-5\\\\-10+2=-3-5\\\\-8=-8\ (TRUE)

5) Substituting  (0,-1) into the equation:

 7(-1)+2=3(0)-5\\\\-7+2=-0-5\\\\-5=-5\ (TRUE)

Therefore, the point (3, -\frac{3}{7})  is not on the given line.

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