TAILIEUCHUNG - Master the Gre 2010 - Part 32

Peterson's Master the Gre 2010 - Part book includes 9 full-length practice tests , thorough reviews of every section on the exam, and expert tips and strategies from a test prep pro. GRE (Graduage Record Examination General Test) is a commercially-run standardized test and an admission requirement for many graduate schools in USA and other English-speaking countries. GRE can earn you between 200-800 points. | Chapter 11 Math Review Geometry 293 -coordinate is its vertical position on the plane. You denote the coordinates of a point with x where x is the point s x-coordinate and is the point s -coordinate. The center of the coordinate plane the intersection of the x- and y-axes is called the origin. The coordinates of the origin are 0 0 . Any point along the x-axis has a -coordinate of 0 x 0 and any point along the y-axis has an x-coordinate of 0 0 . The coordinate signs positive or negative of points lying in the four Quadrants I-IV in this next figure are as follows Quadrant II - -3 4 . r- Quadrant I -3 -1 Quadrant III . l-i Quadrant IV - Notice that we ve plotted three different points on this plane. Each point has its own unique coordinates. Before you continue make sure you understand why each point is identified by two coordinates. Defining a Line on the XV-Piane You can define any line on the coordinate plane by the equation mx b In this equation The variable m is the slope of the line. The variable b is the line s -intercept where the line crosses the -axis . The variables x and are the coordinates of any point on the line. Any x pair defining a point on the line can substitute for the variables x and . Determining a line s slope is often crucial to solving GRE coordinate geometry problems. Think of the slope of a line as a fraction in which the numerator indicates the vertical change from one point to another on the line moving left to right corresponding to a given horizontal change which the fraction s denominator indicates. The common term used for this fraction is rise over run. You can determine the slope of a line from any two pairs of x coordinates. In general if x J and x2 2 lie on the same line calculate the line s slope as follows notice that you can subtract either pair from the other 294 PART IV Quantitative Reasoning 1 yz 2 yi yi 2 yz slope m ---------- or -------- 2 2 X1 X1 2 X2 On the Ay-plane a line s slope is its rise over run

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