2 years ago

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]2 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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