Which of the following is the equation of a straight line that has y-intercept 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
Slope-intercept form for the equation of a line is y = mx + b
m is the slope b is the y-intercept 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} y-intercept is 3 {given} y = (-1/2)x + 3 {substituted slope and y-intercept, of new line, into slope-intercept 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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