Question

Find the slope of the line that passes through the given pair of points. (if an answer is undefined, enter undefined.) (−5, −5) and (9, −9)

Answer 1

To find the slope of the line between two points, we use the equation
$m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$
Where m is the slope of the line. Now, we substitute our given values into the equation, and solve for m:
$m = \frac{ (- 9) - ( - 5)}{(9) - ( - 5)}$
$m = \frac{ - 9 + 5}{9 + 5} = \frac{ - 4}{14} = \frac { - 2}{7}$
So, the slope of the line is - 2/7