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A line has a slope of -9 and includes the points (6, 1) and (7, d). What is the value of d?

1 Answer

4 votes

Answer:

d = - 8

Explanation:

calculate the slope of the line joining the 2 points and equate to - 9

calculate m using the slope formula

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (6, 1 ) and (x₂, y₂ ) = (7, d )

m =
(d-1)/(7-6) =
(d-1)/(1) = d - 1

then equating

d - 1 = - 9 ( add 1 to both sides )

d = - 8

User Jacouh
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