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Which of the following are equations for the line shown below? Check all thatapply(-3,3)(-1,-3)

Which Of The Following Are Equations For The Line Shown Below Check All Thatapply3313 class=

Sagot :

We have the next points

(-3,3)=(x1,y1)

(-1,-3)=(x2,y2)

In order to calculate the equation we need to find the slope of the line

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-3}{-1+3}=\frac{-6}{2}=-3[/tex]

The slope of the line is -3

Then we will calculate the equation of the line using the slope-point form

[tex]y-y_1=m(x-x_1)[/tex]

we substitute the values

[tex]y-3=-3(x+3)[/tex]

we isolate the y in order to obtain the equation of the line

[tex]\begin{gathered} y=-3x-9+3 \\ \end{gathered}[/tex]

The equation of the line given is

[tex]y=-3x-6[/tex]

another way to find the answer is using the other point

[tex]y+3=-3(x+1)[/tex]

Therefore the correct answers are A and B

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