Line k is defined by y = 17 7 x + 4 . Line j is

Choice B is correct. It's given that line $k$ is defined by $y=\frac{17x}{7}+4$. For an equation of a line written in the form $y=mx+b$, $m$ 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 $\frac{17}{7}$. 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 $\frac{17}{7}$.

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.