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Choice D is correct. It’s given that line j is perpendicular to line k and that line k is defined by the equation . This equation can be rewritten in slope-intercept form, , where m represents the slope of the line and b represents the y-coordinate of the y-intercept of the line, by subtracting x from both sides of the equation, which yields . Thus, the slope of line k is . Since line j and line k are perpendicular, their slopes are opposite reciprocals of each other. Thus, the slope of line j is 1. It’s given that the y-intercept of line j is . Therefore, the equation for line j in slope-intercept form is , which can be rewritten as .

Choices A, B, and C are incorrect and may result from conceptual or calculation errors.