Use the point on the line and the slope of the line to find three additional points that the line passes through. (There is more than one correct answer.) Point Slope (4, 4) m = 0 (x, y) = ( (x, y) = ( (x, y) = (
Use the point on the line and the slope of the line to find three additional points that the line passes through. (There is more than one correct answer.) Point Slope (4, 4) m = 0 (x, y) = ( (x, y) = ( (x, y) = (
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
Transcribed Image Text:### Finding Points on a Line
Use the point on the line and the slope of the line to find three additional points that the line passes through. (There is more than one correct answer.)
#### Given Information
- **Point**: (4, 4)
- **Slope** (m): 0
#### Required
Find three additional points \((x, y)\) that the line passes through:
#### Solution
Since the slope \(m\) is 0, the line is horizontal. This means that the \(y\)-coordinate of any point on the line will be the same, specifically 4. You can choose any value for the \(x\)-coordinate. Here are three examples:
1. \((x, y) = (1, 4)\)
2. \((x, y) = (7, 4)\)
3. \((x, y) = (10, 4)\)
Simply fill in the \(x\)-values in the boxes to find three additional points that the line passes through.
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