# Matriculation Algebra with Numerous Examples; For the Use of Schools and Colleges, Based on the New Regulations of the Calcutta University Volume 1

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## Description

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1908 edition. Excerpt: ...only two points in it will sufiice to determine the whole straight line, since all that he will then have to do is to join these two points and to produce the join indefinitely both ways. (Art. 281). Now plotting the points, we notice that they lie in a straight lineThis straight line, produced indefinitely both ways, is the required graph, as shown in Fig. 7. EX. 5. Draw the graphs represented by the equations: --to take t/zree divisions of__the paper as our unit in (i) and (ii) and jbur divisions as our unit in (111). If the paper is ruled to tenths of an inch, find the area of the-space enclosed by these lines. most general form is ax+by+c=0, and is said to be a linear equation. (i) for _all numerical values of a the equation _y=centslx represents.a straight line passing through the origin; (ii) for all numerical values of a and b the equation)/=ax+6 representsastraight line parallel to that given by y=ax. As the latter passes through the origin, the former lies b units above it (the distance between the lines being measured along the axis of y) when b is positive, but below it when 6 is negative. In either case, a is called the gradient or slope of the line. 281. As a linear equation always represents a straight line, and as only one straight line can be drawn through two given points, we need only determine any two convenient points and the graph is the straight line joining them. Moreover, the student should carefully notice the fact that a point deer or does not lie on a graph accor/tiling as its co-ordinate: do or do not satisfy the equation of the grap. Ex. 1. Shew that the points (-2, 10), (--1,5), (2, --1o) lie on.a straight line, and find its equation. Let _y=ax-1-11 be the required equation. As it passes through the firstshow more

## Product details

• Paperback | 48 pages
• 189 x 246 x 3mm | 104g
• United States
• English
• black & white illustrations
• 1236973011
• 9781236973016