Question

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

Answer 1

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

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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}`

Good luck with your studies.

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