Reworded target question: Does line k pass through the point (-3, 3)?grandh01 wrote:In the xy-plane, does the point (-3, 3) lie on line k?
(1) The point (3,-3) does not lie on line k.
(2) The slope of line k is -1.
OA IS C
Statement 1: The point (3,-3) does not lie on line k.
It's still possible that line k passes through (-3, 3), and it's possible that line k does not pass through (-3, 3)
INSUFFICIENT
Statement 2: The slope of line k is -1.
It's still possible that line k passes through (-3, 3), and it's possible that line k does not pass through (-3, 3)
INSUFFICIENT
Statement 1 & 2:
When we combine the statements, we're told that a line with slope -1 does not pass through (3, -3)
Important: the slope between (-3, 3) and (3, -3) is -1. In other words, if line k were to have a slope of -1 and pass through (3, -3), then line k would definitely pass through (-3, 3)
Conversely, since the combined statements tell us that line k (with slope -1) does not pass through (3, -3), we can be certain that it definitely does not pass through (-3, 3)
Since we can now answer the target question with certainty, the combined statements are SUFFICIENT and the answer is C.
Cheers,
Brent
