This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1916 Excerpt: ...them. Ex. 1. Graph 3y-2x = 6. When x = 0, y=2; when y = 0, x =--3., Hence, the graph' passes through the points (0, 2) and (-3,0), or CD is the required graph. The greater the distance between the points chosen, the more accurate the construction will be. It is usually advisable to test the result obtained by locating ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1916 Excerpt: ...them. Ex. 1. Graph 3y-2x = 6. When x = 0, y=2; when y = 0, x =--3., Hence, the graph' passes through the points (0, 2) and (-3,0), or CD is the required graph. The greater the distance between the points chosen, the more accurate the construction will be. It is usually advisable to test the result obtained by locating a third point and observing whether it falls upon the graph as constructed. If the given line does not pass through the origin, or near the origin on both axes, it is often convenient to construct the line by determining the points where the line crosses the axes. Ex. 2. Graph 4x + 7y = 1. When x = 0, y =; when y = 0, x =. Hence, the graph passes close to the origin on both axes. Hence, find two points on the required graph at some distance from each other, as by letting x = 0, 9, and finding y--, --5. Let the pupil construct the figure. EXERCISE 78 Graph the following. (It is an advantage, if possible, to draw the graph line in red, the rest of the figure in black ink.) 1. y = x + 2 7. 4a;--5y = 1 3. 3x + 2y = 6 4. Zx-2y = 6 9" = 3(2/-l) 5. 3z-by + 15 = 0 10. y =-x 6. y = 2x U. y = 4 12. If x = 2, show that whatever value y has, a; always = 2. Hence the graph of x = 2 is a line parallel to the y-axis. 13. Graph x = 0; also y = 0. 14. Show how to determine from an inspection of a linear equation whether its graph passes through the origin; near the origin on one axis; near the origin on both axes. 15. Graph 5x + &y = 1; also 6x--y = 12. 16. Obtain and state a short method of graphing a linear equation in which the term which does not contain x or y is missing, as 2y--3x = 0. Before graphing the following, determine the best method of constructing each graph, and then graph: 17. x + 2y = 4 20. x + %y = 23. x-y = 5 18. 2y = x 21. x ...
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