Explanation

Key Concept: If a point lies on a given line (or curve), then the x- and y-coordinates of that point must satisfy the equation of that line (or curve)

So, for each answer choice, we must plug in the x and y values (aka the coordinates) to see whether they satisfy the given equation.

A. $(−5, −13)$
We get: $-13= \frac{3(-5)^2+2}{(-5)-1}=\frac{77}{-6}$
Doesn't work.
ELIMINATE A

B. $(−4, −10)$
We get: $-10= \frac{3(-4)^2+2}{(-4)-1}=\frac{50}{-5}=-10$
WORKS!


C. $(0, 2)$
We get: $2= \frac{3(0)^2+2}{(0)-1}=\frac{2}{-1}=-2$
Doesn't work.
ELIMINATE C


D. $(3, 14 \frac{1}{2})$
We get: $14.5= \frac{3(3)^2+2}{3-1}=\frac{29}{2}=14.5$
WORKS!


E. $(5, 19 \frac{1}{2})$[/quote]
We get: $19.5= \frac{3(5)^2+2}{5-1}=\frac{77}{4}=19.25$
Doesn't work.
ELIMINATE E


Answer: B & D

Cheers,
Bret