Does line L pass through point (-2/3, 1/2)?

Bens4vcobra wrote:On the xy cord. plane, line L has a slope of 3/4. Does line L pass through the point (-2/3, 1/2)?

1) Line L passes through point (4, 4)

2) Line L passes through point (-4, -2)

To determine whether a line passes through a particular point, we need to know the equation of the line. Now the slope of the line is given.

Say, the equation of the line is y = mx + c, then we know m but we don't know c. We can easily determine c if we know the coordinates of a point on the line.

Hence, if we know the coordinate of a point that lies on the line, we can determine equation of the line and hence we can determine whether the line passes through the given point or not.

As both statements gives us the coordinate of a point lying on the line. Both of them are sufficient to answer the question.

The correct answer is D.

Geva@MasterGMAT wrote:Stat. (2) -4-1/2 / -2-(-2/3) = -4.5 / -2+2/3 = -9/2 / -4/3 = 9/2 * 3/4 = 27/8. This is not equal to 3/4, and the answer is a definite "no" - but that is also sufficient, since yo9u CAN answer the question.

Hi Geva, please check the red part.
It should be (-2 - (1/2))/(-4 - (-2/3)) = ... = 3/4