Among the given statements, the one that best describes the line is CHOICE B.
CHOICE B : Line p has a greater slope than line q.
Let's check the other statements.
A.) Line p has the same slope as line q.
- Wrong. Line p and line q have different slopes. The most obvious proof is that we can visibly see two lines intersecting in different angles.
C.)The y-intercept of line p is greater than the y-intercept of line q.
- Wrong. The two lines have the same y-interecept. It is the y-coordinate at x = 0. The y-intercept of the lines is y = 2.
D.)The x-intercept of line q is greater than the x-intercept of line p.
- Wrong. It is the x-coordinate at y = 0. The x-intercept of line p is greater than line q. In negative x-intercepts, the nearer it is to the origin, the greater is the negative x-intercepts.
Therefore, the answer is CHOICE B.