A geometry problem by michael tesfa

Geometry Level 1

Which of the following equations given contains the points ( 1 , − 1 ) (1, -1) and ( 3 , 5 ) (3, 5) ?

y = 3 x + 4 y = 3x + 4 y = − 3 x + 4 y = -3x + 4 2 y = 6 x − 8 2y = 6x - 8 − 2 y − 6 x = 0 -2y -6x = 0

Michael Tesfa by michael tesfa , 17, USA

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2 solutions

Zach Abueg
Apr 15, 2017

m = 5 − ( − 1 ) 3 − 1 = 2 \displaystyle m = \frac{5 - (-1)}{3 - 1} = 2

y = 3 x + b \displaystyle y = 3x + b

5 = 3 ( 3 ) + b \displaystyle 5 = 3(3) + b

b = − 4 \displaystyle b = - 4

y = 3 x − 4 \displaystyle y = 3x - 4 , or

2 y = 6 x − 8 2y = 6x - 8

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Michael Tesfa
Apr 12, 2017

The answer is 2y = 6x -8 for obvious reasons, as you guys or girls figured out.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

You can check (1,-1) and eliminate all but one answer, then check that one. Better designed options would have helped.

Marta Reece - 4 years, 1 month ago

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