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
Slopeintercept form for the equation of a line is y = mx + b
m is the slope b is the yintercept Perpendicular lines have slopes which are negative reciprocals. Find the slope of the given line. 4x  2y = 6 2y = 4x + 6 {subtracted 4x from each side} y = 2x  3 {divided each side by 2} slope = 2 Perpendicular slope is 1/2 {perpendicular lines have slopes which are negative reciprocals} yintercept is 3 {given} y = (1/2)x + 3 {substituted slope and yintercept, of new line, into slopeintercept form} 2y = x + 6 {multiplied entire equation by 2, to eliminate fraction} 2y + x = 6 {subtracted x from each side to get equation into standard form, Ax + By = C} C.) 2y  x = 6 Comments are closed.

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