Which of the following is the equation of a straight line that has yintercept 3 and is perpendicular to the line 4x  2y = 6. A.) 2y + 3x =  3 B.) y + 3x = 2 C.) 2y  x = 6 D.) y  2x = 4 E.) 2y + x = 6 To find the yintercept, get each possible answer in slopeintercept form y = mx + b m is the slope b is the yintercept Also, perpendicular lines have slopes which are negative reciprocals. For example 3/2 and 2/3 are negative reciprocals. Once, the possible answers are in slopeintercept form, you can look at the slope and yintercept, to decide which one is being asked for. The given equation in the problem: 4x  2y = 6 2y = 4x + 6 {subtracted 4x from both sides} y = 2x  3 {divided both sides by 2} slope = 2 and yintercept = 3 a perpendicular line to this would have a slope of 1/2 So, out of the possible answers, you are looking for a slope of 1/2 and a yintercept of 3 A.) 2y + 3x =  3 2y = 3x  3 {subtracted 3x from both sides} y = (3/2)x  3/2 {divided both sides by 2} slope = 3/2 and yintercept = 3/2 B.) y + 3x = 2 y = 3x  2 {subtracted 3x from both sides} slope = 3 and yintercept = 2 C.) 2y  x = 6 2y = x + 6 {added x to both sides} y = (1/2)x + 3 {divided both sides by 2} slope = 1/2 and yintercept = 3 D.) y  2x = 4y = 2x + 4 {added 2x to both sides} slope = 2 and yintercept = 4 E.) 2y + x = 6 2y = x + 6 {subtracted x from both sides} y = (1/2)x + 3 {divided both sides by 2} slope = 1/2 and yintercept = 3 The line with a slope of 3 and perpendicular to 4x  2y = 6 is E.) 2y + x = 6  Algebra House
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