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= 7x+ Line k is defined by y 1/8. Line j is perpendicular to line k in the xy-plane. What is the slope of line j? −8
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
=7 + 1 Choice B is correct. It’s given that line k is defined by y x 8. For an equation = + in slope-intercept form y mx b, m represents the slope of the line defined by this equation in the xy-plane and b represents the y-coordinate of the y-intercept of this line. Therefore, the slope of line k is 7. It’s also given that line j is perpendicular to line k in the xy-plane. Therefore, the slope of line j is the 1 - opposite reciprocal of the slope of line k. The opposite reciprocal of 7 is 7. 1 - Therefore, the slope of line j is 7. Choice A is incorrect. This is the opposite reciprocal of the y-coordinate of the y-intercept, not the slope, of line k. Choice C is incorrect. This is the y-coordinate of the y-intercept of line k, not the slope of line j. Choice D is incorrect. This is the slope of a line that is parallel, not perpendicular, to line k. 48 SAT PRACTICE TEST #6 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2
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