SAT Question 0451d754: Linear Equations In Two Variables answer and explanation with Desmos solution

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 $\frac{17}{7}$.