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)

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.

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step-by-step explanation: