Which of the following is a point-slope equation of a line that passes through the points (5,2) and (-1,-6)?
A. y-2-(X-5)
B. y-2-(X-5)
C. y-2 =(x-5
D. V-2--0-5)

Please, check the options of the question. The point-slope equation needs the slope, m, in the equation.

The point-slope equation of the points (5,2) and (-1,-6) is

 or,

which are the same as

, (which is not a point-slope equation, though)

Step-by-step explanation:

The point-slope equation is given by:

Where m is the slope of the line:

Having the points (5,2) and (-1,-6), then

Then, the point-slope equation of the points (5,2) and (-1,-6) is

or

The below graph represents both lines (they are the same line).