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The points (6,r) and (8,2) lie on a line with slope 3. Find the missing coordinate r.

a) r = 4
b) r = 5
c) r = 6
d) r = 7

User ScottWest
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1 Answer

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Final answer:

Using the slope formula, m = (y2 - y1) / (x2 - x1), with the given slope of 3 and points (6,r) and (8,2), we find that the missing coordinate r = -4, which doesn't match any of the provided answer choices.

Step-by-step explanation:

To find the missing coordinate r for the point (6,r), we use the fact that the slope (m) of the line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1). Given that the slope of our line is 3 and it passes through (6,r) and (8,2), we set up the slope equation as follows:

3 = (2 - r) / (8 - 6)

3 = (2 - r) / 2

To solve for r, multiply both sides by 2 and add r to both sides:

6 = 2 - r

r = -4

Therefore, as none of the given answer choices match -4, it seems there might be an error with the question or the answer choices given.

User Choeger
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