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 = ( 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 = ( (- 9) - ( - 5))/((9) - ( - 5))`

`m = ( - 9 + 5)/(9 + 5) = ( - 4)/(14) = \frac { - 2}{7}`
So, the slope of the line is - 2/7