- - - - - - -_4_and_passes - - - Line r in the xy-plane has a slope of 0,6 through the point. Which equation defines line r?
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice D is correct. A line in the xy-plane with a slope of m and a y-intercept of 0, = + ^ bh can be defined by an equation in the form y mx b. It’s given that line r 0,6 = has a slope of 4 and passes through the point ^ h. It follows that m 4 and = = + b 6. Substituting 4 for m and 6 for b in the equation y mx b yields =4 +6 =4 +6 y x . Therefore, the equation y x defines line r. 43 SAT PRACTICE TEST #5 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2 - Choice A is incorrect. This equation defines a line that has a slope of 6, not 4, 0,4 0,6 and passes through the point ^ h, not ^ h. Choice B is incorrect. This equation 0,4 defines a line that has a slope of 6, not 4, and passes through the point ^ h, not 0,6 ^ h. Choice C is incorrect. This equation defines a line that passes through the 0,-6 0,6 point ^ h, not ^ h.
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