Which of the following lines is perpendicular to the line given by the equation –2y = –8x + 10?

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Accepted Answer

Divide both sides of the equation by –2 to write the equation in slope-intercept form (y = mx + b); –2y = –8x + 10 is equivalent to y = 4x – 5. The slope of this line is the coefficient of x, which is 4. The slopes of perpendicular lines are negative reciprocals of each other. The negative reciprocal of 4 is – 1 ⁄ 4 . Only y = – 1 ⁄ 4 x + 5 is a line with a slope of – 1 ⁄ 4 .

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