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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.