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Module 7 Objectives: DVM 0071 Mastering Linear Equations Review of Module 7 Objectives: 1. - Mastering Linear Equations Graph a linear equation in two variables by plotting points including the intercepts and by using a point and the slope. a) Graph the line 7x – 2y = 2 b) Graph the linear equation 2x – y = 4 by finding the intercepts. c) Graph the line y = - x + 2 using the slope and y-intercept. d) Graph the line with slope -4 and passing through (3,-2) 2. Find the slope. a) Find the slope of the line through the given points and graph the line by plotting these points. (1, 2) and (8, 5) b). Find the slope of the line given the equation. 1. y = 5x – 2 2. y = -7 3 x=3 3. a.) Find the equation of the line: Passing through (3,4) and parallel to 6x +7y = -6 b.) Find the equation of the line: Passing through (-7,-9) and perpendicular to 8x -9y + 2 = 0 Review of Module 7 Objectives: DVM 0071 1 Module 7 Objectives: DVM 0071 Mastering Linear Equations c.). Use the graph of a line to find its slope. 4. Write an equation of a line (in standard and slope-intercept forms) given two points or given the slope and a point.. a) Find the equation of a line passing through (2, -3) and (6, 5) in standard form. b) Find the equation of a line passing through (2, -3) and (6, 5) in slopeintercept form. c) Find the equation of the line with slope and passing through (1, -6) in standard form. d) Find the equation of the line with slope and passing through (1, -6) in slope-intercept form. Review of Module 7 Objectives: DVM 0071 2 Module 7 Objectives: DVM 0071 Mastering Linear Equations Answer Key 1a 1b 1c 1d 2a 3/7 2b m = 5, m = 0, m = undefined 3a y = - x + 3b y= 4a -2x + y = -7 or 2x – y = 7 4b y = 2x - 7 4c -5x + 7y = -47 or 5x -7y =47 4d y= x- 3c m = 4/3 Review of Module 7 Objectives: DVM 0071 x- 3