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Which of the following is the equation of the line that has a slope of -3 and passes through thepoint (-2, 6)?

Sagot :

SOlution

The given slope of the line is -3

The line passes through the point (-2, 6)

Recall the point slope form equation:

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

Substituting values gives:

[tex]y-6=-3(x-(-2))[/tex]

Simplifying the equation gives:

[tex]\begin{gathered} y-6=-3(x+2) \\ y-6=-3x-6 \\ y=-3x-6+6 \\ y=-3x \end{gathered}[/tex]

Therefore the equation of the line is:

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

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