sat suite question viewer
Algebra
/ Linear equations in two variables
Difficulty: Hard
Line is defined by . Line is perpendicular to line in the xy-plane. What is the slope of line ?
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Explanation
The correct answer is . For an equation in slope-intercept form , represents the slope of the line in the xy-plane defined by this equation. It's given that line is defined by . Subtracting from both sides of this equation yields . Dividing both sides of this equation by yields , or . Thus, the slope of line in the xy-plane is . Since line is perpendicular to line in the xy-plane, the slope of line is the negative reciprocal of the slope of line . The negative reciprocal of is . Note that 1/4 and .25 are examples of ways to enter a correct answer.