BTGmoderatorDC wrote: ↑Wed Feb 19, 2020 6:09 pm
GMAT_PS_Magoosh_85.png
If the line passes through the origin, what is the value of k?
A. -8
B. -12.5
C. -18
D. -24.5
E. -28
OA
D
Source: Magoosh
Since the line passes through the origin, we know that the point (0, 0) also lies on the line.
Key property: The slope between any two points on a line will always be the same
This means: the slope between points (-4, 7) and (0, 0) must be equal to slope between points (0, 0) and (14, k)
We can now apply the slope formula to write: (0 - 7)/[0 - (-4)] = (k - 0)/(14 - 0)
Simplify: -7/4 = k/14
Cross multiply to get: 4k = (-7)(14)
Divide both sides of the equation by 4 to get: k = (-7)(14)/4 = -98/4 = -24.5
Answer: D
Cheers,
Brent
