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Algebra / Linear equations in two variables Difficulty: Medium

Line k is defined by y=177x+4. Line j is parallel to line k in the xy-plane. What is the slope of line j ?

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Explanation

Choice B is correct. It's given that line k is defined by y = 17 x 7 + 4 . For an equation of a line written in the form y = m x + b , m is the slope of the line and b is the y-coordinate of the y-intercept of the line. It follows that the slope of line k is 17 7 . It's also given that line j is parallel to line k in the xy-plane. Since parallel lines have equal slopes, line j also has a slope of 17 7 .

Choice A is incorrect and may result from conceptual or calculation errors.

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 and may result from conceptual or calculation errors.