Find the point on the line y = -7x - 6 closest to the point (5, 10). A function s(x) giving the distance between the point (5, 10) and a point (x, -7x-6) on the line is s(x) = The point on the line closest to (5, 10) is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem Statement:**

Find the point on the line \( y = -7x - 6 \) closest to the point \( (5, 10) \).

**Function Description:**

A function \( s(x) \) giving the distance between the point \( (5, 10) \) and a point \( (x, -7x - 6) \) on the line is:

\[ s(x) = \]

**Solution:**

The point on the line closest to \( (5, 10) \) is \(\_\_\_\_\_\_\_\_\_\_\_\_\_ \).

Enter the coordinates of the point. Be sure to include commas and parentheses as required.
Transcribed Image Text:**Problem Statement:** Find the point on the line \( y = -7x - 6 \) closest to the point \( (5, 10) \). **Function Description:** A function \( s(x) \) giving the distance between the point \( (5, 10) \) and a point \( (x, -7x - 6) \) on the line is: \[ s(x) = \] **Solution:** The point on the line closest to \( (5, 10) \) is \(\_\_\_\_\_\_\_\_\_\_\_\_\_ \). Enter the coordinates of the point. Be sure to include commas and parentheses as required.
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