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marusya05 [52]
3 years ago
10

A line passes through the points (3,-12) and

Mathematics
1 answer:
Artemon [7]3 years ago
3 0

Answer:

k = - 18

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 2

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (3, - 12) and (x₂, y₂ ) = (6, k)

m = \frac{k+12}{6-3} = \frac{k+12}{3} = - 2 ( multiply both sides by 3 )

k + 12 = - 6 ( subtract 12 from both sides )

k = - 18

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