What is an equation of the line that passes through the point (4,1) and is perpendicular to the line 2x − y = 4?
Find the slope of the given line.
2x  y = 4 y = 2x + 4 {subtracted 2x from each side} y = 2x  4 {divided each side by 1} slope of given line is 2 Perpendicular lines have slopes which are negative reciprocals. slope of new line is 1/2 Substitute the point and slope into slopeintercept form. slope is 1/2 and the point is (4,1) y = mx + b {slopeintercept form} 1 = (1/2)(4) + b {substituted into slopeintercept form} 1 = 2 + b {multiplied 1/2 by 4} b = 3 {added 2 to each side} yintercept is 3 Substitute slope and yintercept into slopeintercept form. y = (1/2) x + 3 is the equation of the line Ask Algebra House
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