Consider the three points (-7, -7), (21, 14), (49, 35)
part a: which of the following points are on the same line that passes through the (-7, -7), (21, 14), (49, 35)? select all that apply.
a. (5, 9)
b. (5, 2)
c. (17, 11)
d. (4,3)
e. (33,23)
part b: show or explain how you determined which points were on the line and which were not on the line.

Part a) B (5,2) and E (33,23) lie on the line

A (5,9) ,C. (17, 11) and D. (4,3) do not lie on the line.

Part b) By substituting the given point into the equation of the line going through (-7, -7), (21,14), (49, 35).

Step-by-step explanation:

Given the three points (-7, -7), (21,14), (49, 35);

We find the slope using:

Find the slope using (-7, -7) and (21, 14), we have :

The equation of this line through (-7, -7) and (21, 14),is given by

We substitute the point and slope to get:

This gives us

We check and see if the point (49,35) lies on the same line.

When x=49 do we get y=35?

Yes

For point A (5,9)

When x=5, do we get y=9?

No

For point B (5,2)

When x=5, do we get y=2?

Yes, that's what we just got in A above.

For point C (17,11)

When x=17, do we get y=11?

No

For point D (4,3)

When x=4, does y=3?

No

For point E (33,23)

When x=33, does y=23?

Yes

final answer is : )

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step-by-step explanation: