What is the equation of the line that passes through the point (-2,-6) and has a slope of - 1/2

asked May 27, 2021 124k views

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

slope of - 1/2

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Answer:

y = -(1)/(2)x -7

Explanation:

$(-2,-6) =(x_1,y_1)\\\\m = -(1)/(2)$

Substitute values into point-slope form

$y-y_1=m(x-x_1)\\\\y -(-6)=-(1)/(2) (x -(-2))\\\\y+6 = -(1)/(2) (x+2)\\\\y +6 =-(1)/(2)x -1\\\\y =-(1)/(2)x -1-6\\\\y = -(1)/(2)x -7$

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