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539. @ 654 321 6+ 5- 3+ 2+ -6-5-4-3-2-1 1 2 3 4 5 6 +2+ -3- 4 5+ +X -6

539. @ 654 321 6+ 5- 3+ 2+ -6-5-4-3-2-1 1 2 3 4 5 6 +2+ -3- 4 5+ +X -6

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The image contains two graphs labeled as part (a) and part (b). ### Part (a) - **Graph Description:** A Cartesian coordinate system is displayed with both the x-axis and y-axis ranging from -6 to 6. - **Line Characteristics:** - A line with an arrowhead extends diagonally across the graph, indicating a sloped trajectory. - The line intersects the y-axis at (0, 2) and the x-axis at (-2, 0). - **Direction:** The arrow on the line points downwards towards the bottom right, showing a negative slope. ### Part (b) - **Graph Description:** Another Cartesian coordinate system is shown, again with axes ranging from -6 to 6. - **Line Characteristics:** - An upward vertical arrow is drawn on the y-axis, indicating a positive direction parallel to the y-axis. - This line does not cross the x-axis, indicating it's a vertical line through the origin. These graphs illustrate basic linear concepts, with part (a) depicting a line with a negative slope and part (b) showing a vertical line without any slope.
Transcribed Image Text:The image contains two graphs labeled as part (a) and part (b). ### Part (a) - **Graph Description:** A Cartesian coordinate system is displayed with both the x-axis and y-axis ranging from -6 to 6. - **Line Characteristics:** - A line with an arrowhead extends diagonally across the graph, indicating a sloped trajectory. - The line intersects the y-axis at (0, 2) and the x-axis at (-2, 0). - **Direction:** The arrow on the line points downwards towards the bottom right, showing a negative slope. ### Part (b) - **Graph Description:** Another Cartesian coordinate system is shown, again with axes ranging from -6 to 6. - **Line Characteristics:** - An upward vertical arrow is drawn on the y-axis, indicating a positive direction parallel to the y-axis. - This line does not cross the x-axis, indicating it's a vertical line through the origin. These graphs illustrate basic linear concepts, with part (a) depicting a line with a negative slope and part (b) showing a vertical line without any slope.
### Exercises **540.** Find the slope of the line between the points \((5, 2)\) and \((-1, -4)\). **541.** Graph the line with slope \(\frac{1}{2}\) containing the point \((-3, -4)\). **542.** Find the intercepts of the equation \(4x + 2y = -8\) and graph. --- **Graph the line for each of the following equations:** **543.** \(y = \frac{5}{3}x - 1\) **544.** \(y = -x\) ### Explanation of Graph The visible part of the graph in the image is a standard coordinate plane with the x-axis and y-axis both ranging from -6 to 3. There are downward arrows at both the top and bottom of the y-axis, indicating extension.
Transcribed Image Text:### Exercises **540.** Find the slope of the line between the points \((5, 2)\) and \((-1, -4)\). **541.** Graph the line with slope \(\frac{1}{2}\) containing the point \((-3, -4)\). **542.** Find the intercepts of the equation \(4x + 2y = -8\) and graph. --- **Graph the line for each of the following equations:** **543.** \(y = \frac{5}{3}x - 1\) **544.** \(y = -x\) ### Explanation of Graph The visible part of the graph in the image is a standard coordinate plane with the x-axis and y-axis both ranging from -6 to 3. There are downward arrows at both the top and bottom of the y-axis, indicating extension.
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slope of the line passing through the points a,b  and c,d is given by m=d-bc-aAnd equation of line passing through these two point isy-b=mx-a

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