Problem

The points (6, t) and (-9, -5) fall on a line with a slope of -1/5. What is the value of t?

Answer

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Answer

Final Answer: The value of t is \(\boxed{-2}\).

Steps

Step 1 ：We are given two points on a line: (6, t) and (-9, -5). The slope of the line is -1/5.

Step 2 ：The formula for the slope of a line is \((y2 - y1) / (x2 - x1)\).

Step 3 ：Substituting the given values into the formula, we get \((-1/5) = (t - (-5)) / (6 - (-9))\).

Step 4 ：Solving the equation for t, we find that \(t = -2\).

Step 5 ：Final Answer: The value of t is \(\boxed{-2}\).

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