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Mathematics 14 Online
OpenStudy (illyamber1):

fan and medal Which equations are equations for the line shown? Choose all answers that are correct.

OpenStudy (illyamber1):

OpenStudy (michele_laino):

hint: using the coordinates of points, slope \(m\) of the line as: \[m = \frac{{5 - \left( { - 3} \right)}}{{ - 2 - 2}} = ...?\]

OpenStudy (michele_laino):

oops... I meant: using the coordinates of the given points, we can find the slope m of the line as: \[m = \frac{{5 - \left( { - 3} \right)}}{{ - 2 - 2}} = ...?\]

OpenStudy (michele_laino):

please complete

OpenStudy (illyamber1):

12 @Michele_Laino

OpenStudy (michele_laino):

I get this: \[m = \frac{{5 - \left( { - 3} \right)}}{{ - 2 - 2}} = \frac{{5 + 3}}{{ - 4}} = \frac{8}{{ - 4}} = ...?\] retry please

OpenStudy (illyamber1):

oh sorry i didnt dived 8 and -4 itb would be -2

OpenStudy (illyamber1):

@Michele_Laino

OpenStudy (michele_laino):

that's right!

OpenStudy (michele_laino):

now we can apply this equation: \(y-y_0=m(x-x_0)\) for example, if I choose the point \((2,-3)\), then, after a substitution, I can write: \(y+3=-2(x-2)\)

OpenStudy (michele_laino):

so the first option is a correct option please apply this method to the point \((-2,5)\), namely \(y_0=5, x_0=-2\)

OpenStudy (illyamber1):

wait so would the answer be A,C,D? i think i am wrong but i just think they would since they include the -2 that is a dumb reason but it is my guess.

OpenStudy (michele_laino):

optionD is wrong, since we have not a point whose y-coordinate is 2

OpenStudy (illyamber1):

okay so A and C?

OpenStudy (michele_laino):

that's right!

OpenStudy (illyamber1):

Thanks so much i understand it now thanks

OpenStudy (michele_laino):

:)

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