Provide an appropriate response.
-$$\text { Find all points } ( x , y ) \text { on the graph of } y = \frac { x } { ( x - 3 ) } \text { with tangent lines perpendicular to the line } y = 3 x - 2$$
A) (0, 0), (6, 2)
B) (0, 0), (3, 2)
C) (0, 0)
D) (6, 2)

Question

Quizplus · Accepted Answer

The slope of the line y = 3x - 2 is 3. Tangent lines perpendicular to this line must have a slope of -1/3. The derivative of y = x/(x-3) gives the slope of the tangent line. Setting this equal to -1/3 and solving for x gives the points (0, 0) and (6, 2).

Provide an Appropriate Response A) (0, 0), (6, 2) B) (0, 0), (3, 2)

Provide an Appropriate Response A) (0, 0), (6, 2)
B) (0, 0), (3, 2)