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masya89 [10]
1 year ago
15

Write the equation of the line that passes through (-3,6) with a slope of -2

Mathematics
1 answer:
Ksenya-84 [330]1 year ago
6 0

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\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}

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

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond

     

First, we need to write the equation of the line in point-slope form:-

\sf{y-y_1=m(x-x_1)}

Replace y1 with 6, m with -2, and x1 with -3:-

\sf{y-6=-2(x-(-3)}

On simplification,

\sf{y-6=-2(x+3)}

On further simplification,

\sf{y-6=-2x-6}

Add 6 on both sides:-

\it{y=-2x}

<h3>Good luck with your studies.</h3>

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