The slope of any line is the fraction , where
is the change in y-coordinate and
is the change in x-coordinate.
To find these changes, we take the <em>difference </em>of the corresponding x and y coordinate for the two points. Here, our y-coordinates are -7 and 3, and our x-coordinates are 5 and 1, so our slope is
Option B: is the correct answer.
Explanation:
The given expression is
Simplifying the expression, we have,
Factor the equations, and
,we get,
Substituting these factored expressions in the above expression, we have,
Cancelling the common terms and
, we get,
Thus, the expression equivalent to is
Hence, Option B is the correct answer.