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A line passes through the points (-1, -1) and (5,8). Which points lie on the same line? Select all that apply. (-3, -4)
Question
A line passes through the points (-1, -1)
and (5,8). Which points lie on the same
line? Select all that apply.
(-3, -4)
(9, 14)
(1, 2)
(4, 7)
(3,5)
(-2,-2)
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Mathematics
3 years
2021-07-26T16:46:26+00:00
2021-07-26T16:46:26+00:00 1 Answers
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Answers ( )
Given:
A line passes through the points (-1, -1) and (5,8).
To find:
Which points lie on the same line?
Solution:
If a line passes through two points, then the equation of the line is:
A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:
Multiply both sides by 2.
So, the equation of the line is .
Now, check each point for this equation.
Putting , we get
Similarly,
For .
For .
For .
For .
For .
Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.