Question

Find the slope of the line.

Answer 1

The points we can clearly see are (-2,-2) and (0,-3). You have to rise up 2 points and got to the left 4, so the rise over run is 2 over -4. Simplify this to -1/2, so the slope is negative 1/2.

Answer 2

The slope of the line is
`-(1)/(2)`

Explanation:

To know the slope of a line we can have the equation or to know points of the line. In this case from the graph we can get to points (-4,-1) and (0,-3). Having this and using the equation to calculate the slope, we have:

`m=(y2-y1)/(x2-x1)`

Defining:

`(x1=-4,y1=-1)` and
`(x2=0,y2=-3)`

Replacing this values in the initial equation, this is:

`m=(-3-(-1))/(0-(-4))`

`m=(-2)/(4) =-(1)/(2)`

The slope of the line is
`-(1)/(2)`