DS

Form the equation of the line with the slope-point form.
Then, substitute value of x by -2/3 and see if y comes out to be 1/2.


Since equation of lines can be formed by usung both equations seperately, we can say that it can be determined if (-2/3,1/2) lies on the linw with the given slope.


Cheers!
Aks

For DS, we always want to focus on the kind of information that will lead to an answer. It's important to remember that we don't actually care what the answer is.

For this question, we're given the slope and want to know if the line passes through a particular point.

(1) and (2) each give us a point on the line. From the slope and 1 point, we can determine the equation of the line. If we can determine the equation, then we can answer ANY POSSIBLE question about that line. So, each of (1) and (2) will be sufficient alone: choose (d).

Your specific reasoning was actually wrong - we can definitely have a combinate of (integer,integer) points and (non-integer, non-integer) points on lines with fractional slopes.

To reiterate what Stuart said:

For DS, we always want to focus on the kind of information that will lead to an answer. It's important to remember that we don't actually care what the answer is.

hehe

This is something I continuously have to remind myself of. Nothing worse than turning a 10 second problem into a 2 minute one.

thanks, i found this question at all.