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F) Graph: 6x – 3y + 12 = 0 구 4 2. -8 -7 -6 -$ -4 -3 -2 -1 2 3 4 6. 7 8 -1 -2 -3 -4 -5 -7

F) Graph: 6x – 3y + 12 = 0 구 4 2. -8 -7 -6 -$ -4 -3 -2 -1 2 3 4 6. 7 8 -1 -2 -3 -4 -5 -7

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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answer graphing question
**Graphing Linear Equations: An Example** The graph represents the equation: **6x - 3y + 12 = 0** **Graph Details:** - The graph is on a coordinate plane with both x and y axes labeled from -8 to 8. - The line graph is expected to intersect the axes, showing the relationship between x and y as described by the equation. **Equation Explanation:** - This is a linear equation in standard form: Ax + By + C = 0. - To graph it, you can find the intercepts: - **X-intercept:** Set \(y = 0\): \(6x + 12 = 0 \rightarrow x = -2\) - **Y-intercept:** Set \(x = 0\): \(-3y + 12 = 0 \rightarrow y = 4\) - Plot these intercept points (-2, 0) and (0, 4) on the graph and draw a line through them to represent the equation. This exercise demonstrates graphing a linear equation by finding x and y intercepts and using them to define the line on a coordinate plane.
Transcribed Image Text:**Graphing Linear Equations: An Example** The graph represents the equation: **6x - 3y + 12 = 0** **Graph Details:** - The graph is on a coordinate plane with both x and y axes labeled from -8 to 8. - The line graph is expected to intersect the axes, showing the relationship between x and y as described by the equation. **Equation Explanation:** - This is a linear equation in standard form: Ax + By + C = 0. - To graph it, you can find the intercepts: - **X-intercept:** Set \(y = 0\): \(6x + 12 = 0 \rightarrow x = -2\) - **Y-intercept:** Set \(x = 0\): \(-3y + 12 = 0 \rightarrow y = 4\) - Plot these intercept points (-2, 0) and (0, 4) on the graph and draw a line through them to represent the equation. This exercise demonstrates graphing a linear equation by finding x and y intercepts and using them to define the line on a coordinate plane.
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