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GMAT exam success Episode 2 Part 9

Tham khảo tài liệu 'gmat exam success episode 2 part 9', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | ALGEBRA 7. Multiply each term by the LCD 12. 8x 2x 3 10x 3 x 10 8. Multiply each term by the LCD 12x. 3x 2x 12 5x 12 x 12 2.4 Coordinate Graphing The coordinate plane is divided into four quadrants that are created by the intersection of two perpendicular signed number lines the x- and y-axes. The quadrants are numbered I II III and IV as shown in the diagram. y-axis 5- II z I 3- 2- 1-- 4---- I 1 1 I--------1 I I I I------- x-axis -5 -4 -3 -2 -1 . 12 3 4 5 -1 -2 -3 -4 III z IV Each location in the plane is named by a point x y . These numbers are called the coordinates of the point. Each point can be found by starting at the intersection of the axes the origin and moving x units to the right or left and y units up or down. Positive directions are to the right and up and negative directions are to the left and down. When graphing linear equations slope and y-intercept use the y mx b form where m represents the slope of the line and b represents the y-intercept. 349 ------------------------------------------ ALGEBRA ---------------------------------------------- Slope The slope between two points x1 1 and x2 2 can be found by using the following formula change in y 1 2 change in x x 1 x 2 Here are a few helpful facts about slope and graphing linear equations Lines that slant up to the right have a positive slope. Lines that slant up to the left have a negative slope. Horizontal lines have a slope of zero. Vertical lines have an undefined slope or no slope. Two lines with the same slope are parallel and will never intersect. Two lines that have slopes that are negative reciprocals of each other are perpendicular. To find the midpoint between any two points x1 1 and x2 2 use the following formula f 1 x 2 1 2 Ọ 1 2 2 2 To find the distance between any two points x1 y1 and x2 y2 use the following formula 2 1x1 - x2 2 1 1 - 2 2 Systems of Equations with Two Variables When solving a system of equations you are finding the value or values where two or more equations equal .