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2 years ago

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

Mathematics

1 answer:

Ksenya-84 [330]2 years 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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