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Ede4ka [16]
2 years ago
5

Complete the equation of the line through (-1,6) (7,-2) Like Y= ??

Mathematics
1 answer:
alina1380 [7]2 years ago
6 0

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-1, 6) and (7, -2). Substitute:

m=\dfrac{-2-6}{7-(-1)}=\dfrac{-8}{8}=-1\\\\y-6=-1(x-(-1))\\\\y-6=-(x+1)\\\\y-6=-x-1\qqiad|\text{add 6 to both sides}\\\\\boxed{y=-x+5}

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