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4. Consider the graph of the line below. 4 3 2 1 (3,1) -5 -4 -3 -2 –11 2 1 4 -2 (3, –2) -3 -4 -5 (a) Give the equation of the line. (b) Use the given points to explain why the slope of the line is undefined.

4. Consider the graph of the line below. 4 3 2 1 (3,1) -5 -4 -3 -2 –11 2 1 4 -2 (3, –2) -3 -4 -5 (a) Give the equation of the line. (b) Use the given points to explain why the slope of the line is undefined.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**4. Consider the graph of the line below.** *Graph Description:* The graph shows a vertical line on a coordinate plane. The x-axis ranges from -5 to 5, and the y-axis ranges from -5 to 5. The line intersects the x-axis at x = 3. Two points on the line are marked: (3, 1) and (3, -2). (a) **Give the equation of the line.** (b) **Use the given points to explain why the slope of the line is undefined.** *Explanation of the Vertical Line:* - The line is vertical because all points on the line have the same x-coordinate (x = 3), irrespective of the y-coordinate. - The equation of the line is x = 3. *Explanation of the Undefined Slope:* - The slope of a line is calculated as the change in y divided by the change in x (rise over run). - For the points (3, 1) and (3, -2), the change in x is 0 (since both have x = 3). - Division by zero is undefined, which makes the slope of this line undefined.
Transcribed Image Text:**4. Consider the graph of the line below.** *Graph Description:* The graph shows a vertical line on a coordinate plane. The x-axis ranges from -5 to 5, and the y-axis ranges from -5 to 5. The line intersects the x-axis at x = 3. Two points on the line are marked: (3, 1) and (3, -2). (a) **Give the equation of the line.** (b) **Use the given points to explain why the slope of the line is undefined.** *Explanation of the Vertical Line:* - The line is vertical because all points on the line have the same x-coordinate (x = 3), irrespective of the y-coordinate. - The equation of the line is x = 3. *Explanation of the Undefined Slope:* - The slope of a line is calculated as the change in y divided by the change in x (rise over run). - For the points (3, 1) and (3, -2), the change in x is 0 (since both have x = 3). - Division by zero is undefined, which makes the slope of this line undefined.
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