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The points (3, -6) and (6, r) lie on a line with slope -2. Find the missing coordinate r

User Nir Gavish
by
7.8k points

2 Answers

4 votes

Answer:

Explanation:

The slope = (y1-y1) / (x2-x1) where the 2 points are (x1, y1) and (x2, y2).

So here we have:

(r - (-6) / (6-3) = -2

(r + 6) / 3 = -2

r + 6 = -2*3

r + 6 = -6

r = -6 - 6

r = -12.

User Gignu
by
8.1k points
2 votes

Answer:

r = - 12

Explanation:

calculate the slope between the 2 given points , then equate to - 2

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (3, - 6 ) and (x₂, y₂ ) = (6, r )

substitute these values into the formula for m

m =
(r-(-6))/(6-3) =
(r+6)/(3)

now, equate the expression for m to - 2


(r+6)/(3) = - 2 ( multiply both sides by 3 )

r + 6 = - 6 ( subtract 6 from both sides )

r = - 12

User Dkv
by
8.1k points

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