Question

What is the slope of the line shown below? (-2,-3) (-4,-9)

Answer 1

For this case we must find the slope of the line that passes through:

`(-2, -3)\ and\ (-4, -9)`

By definition, the slope of a line is given by:

`m = \frac {y2-y1} {x2-x1}`

We have the points:

`(x1, y1) = (- 2, -3)\\(x2, y2) = (- 4, -9)`

Substituting:

`m = \frac {-9 - (- 3)} {- 4 - (- 2)}\\m = \frac {-9 + 3} {- 4 + 2}\\m = \frac {-6} {- 2}\\m = 3`

Answer:

`m = 3`

Answer 2

Slope = 3

Explanation:

Slope = (y2-y1)/(x2 - x1)

In this case,

Slope = (-9 + 3) / (-4 + 2)

= -6/-2

= 3