Which of the following has a yintercept of 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 is y = mx + b
m is the slope b is the yintercept Also, perpendicular lines have slopes which are negative reciprocals of each other. Get the given line into slopeintercept form, so that the slope can be identified. 4x  2y = 6 {given line} 2y = 4x + 6 {subtracted 4x from each side} y = 2x  3 {divided each side by 2} slope of given line is 2 perpendicular slope is 1/2 The line with a slope of 1/2 and a yintercept of 3 is the correct choice. Get line C.) 2y  x = 6 into slopeintercept form 2y = x + 6 {added x to each side} y = (1/2)x + 3 {divided each side by 2} slope is 1/2 and yintercept is 3 Line C.) 2y  x = 6 is close, but not quite Get line E.) 2y + x = 6 into slopeintercept form 2y = x + 6 {subtracted x from each side} y = (1/2)x + 3 {divided each side by 2} slope is 1/2 and yintercept is 3 Line E.) 2y  x = 6 is the correct choice Ask Algebra House Comments are closed.

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