Question

Lines k and m are parallel to each other. Is the slope of line k positive?
(1) Line k passes through the point (3,2).
(2) Line m passes through the point (-3,2).

• A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
• B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Each statement alone is sufficient.
• E. Statements (1) and (2) together are not sufficient.

Answer 1

The correct option is E Statements (1) and (2) together are not sufficient.

The slope of a line characterizes the direction of a line. To find the slope, we divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. Both the given statements specify only a single point of the x and y coordinate i.e (3,2) for line k and (-3,2) for line m. Thus, they are not sufficient to answer the question.