Now that we have the slope, we can determine the equation of the line. The equation for a line is y = mx + b, where m is the slope and b is the y-intercept.
Since m = 3/4, we can solve for b by plugging in the point (5, 6) for the values of x and y: y = mx + b 6 = (3/4)(5) + b 6 = 15/4 + b 6 – 15/4 = b 9/4 = b
So the equation for the line is: y = (3/4)x + 9/4
Only the (x, y) pair that makes the equation true will be a point on the line described by the equation above. When we substitute the values of x and y from the coordinates in the answer choices, only choice (A) makes the equation true: 9 = (3/4)(9) + 9/4 9 = 27/4 + 9/4 = 36/4 = 9.
The correct answer is choice (A). This question is also easy to solve by simply back-solving the answer choices. ----------
Users browsing this forum: No registered users and 0 guests
You cannot post new topics in this forum You cannot reply to topics in this forum You cannot edit your posts in this forum You cannot delete your posts in this forum You cannot post attachments in this forum
GMAT(TM) and GMAT CAT (TM) are registered trademarks of the Graduate Management Admission Council(TM). The Graduate Management Admission Council(TM) does not endorse, nor is affiliated in any way with the owner or any content of this site.