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22 votes
22 votes
Find the equation, in standard form, of the line passing through the points (3,-4) and (5,1).

A. 5x-2y=23
B. y=5/2x-23/2
c. 2x-3y=9
D. 5x+2y= 23

User Akihito KIRISAKI
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1 Answer

12 votes
12 votes

Only answers A, C, and D are in standard form, so we can rule B out immediately.

If you throw (5,1) into A, you get:

5(5) - 2(1) = 23

25 - 2 = 23

This checks, so A *might* be the answer.

If you throw (5,1) into C, you get:

2(5)-3(1) = 9

10 - 3 ≠ 9

This doesn't check, so it's not C.

If you throw (5,1) into D, you get:

5(5)+2(1) = 23

25 + 2 ≠ 23

This doesn't check, so it's not D.

The only standard form equation that (5,1) is a solution for is A.

Your answer is A.

User Michael Bikovitsky
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3.2k points