Correct Answer: E
Explanation:
Geometry Coordinate geometry
The *-intercept is the *-coordinate of the point in which the line k crosses the *-axis and would have the coordinates (*,0).
- (1) Knowing the slope of the line does not help in determining the *-intercept, since from point (-5,r) the line k extends in both directions.
Without knowing the value of r, the *-intercept could be -5 if r were 0, or it could be other numbers, both positive and negative, depending
on the value of r; NOT sufficient.
- (2) Knowing that r > 0 suggests that the *-intercept is not-5; the point (-5,r), where r is a
positive number, does lie in quadrant II. It could, however, be any point with an *-coordinate of-5 in that quadrant and line k could have any
negative slope, and so the line k would vary with the value of r. Therefore, the *-intercept of line k cannot be determined; NOT sufficient.
Using (1) and (2) together does not help in the determination of the *-intercept, since the point (-5,r) could have any positive jy-coordinate and
thus line k could cross the *-axis at many different places.
The correct answer is E; both statements together are still not sufficient.