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Nadya [2.5K]
3 years ago
5

A line has a slope of 1 9 and includes the points ( – 6,z) and (3,1). What is the value of z?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

Answer:

z = - 170

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 19

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

with (x₁, y₁ ) = (3, 1) and (x₂, y₂ ) = (- 6, z)

m = \frac{z-1}{-6-3} = \frac{z-1}{-9} = 19 ( multiply both sides by - 9 )

z- 1 = - 171 ( add 1 to both sides )

z = - 170

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