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miller_intermediate_algebra_4e_ch1_3

160 Chapter 2 Linear Equations in Two Variables and Functions Answers 3. Perpendicular 4. Parallel 5. Neither Add 4x to both sides. b. Write each equation in slope-intercept form by solving for y. L1: 2y 3x 2 L2: 4x 6y 12 Divide by 2. 6y 4x 12 Divide by 6. 3 2 6y 6 y 4 6 2 3 The slope of is The slope of is L1 . x x 2 The value is the opposite of the reciprocal of .Therefore, the lines are perpendicular. c. is equivalent to The slope is L1: x y 6 y x 6. 1. is a horizontal line, and the slope is 0. L2: y 6 The slopes are not the same. Therefore, the lines are not parallel. The slope of one line is not the opposite of the reciprocal of the other slope.Therefore, the lines are not perpendicular. The lines are neither parallel nor perpendicular. Skill Practice Given the pair of equations, determine if the lines are parallel, perpendicular, or neither. 3. 4. 5. 3 4 y 3x y 4 x y 7 6x 6 2y x 1 y 4 3 x 1 x 3 23 32 2 3 L2 . 12 6 y 3 2 x 1 2y 2 3x 2 2 2 Using Slope-Intercept Form to Find an Equation of a Line Use slope-intercept form to find an equation of the line with slope 3 and passing through the point (1, 4). Solution: To find an equation of a line in slope-intercept form, y mx b, it is necessary to find the slope, m, and the y-intercept, b. The slope is given in the problem as m3.Therefore, the slope-intercept form becomes y mx b y 3x b Example 4


miller_intermediate_algebra_4e_ch1_3
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