Question

The graph of a linear function is shown which word describes the slope of the line the choices and graph is below

Answer 1

The graph is negative because it goes down to the right, meaning that it is decreasing. I hooe this helps!

Answer 2

negative

Explanation

Let's find the slope of our line using the slope formula:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

where

`m` is the slope of the line

`(x_(1),y_(1))` are the coordinates of the first point on the line

`(x_(2),y_(2))` are the coordinates of the second point

From the graph we can get the points (-2, 1) and (2, -1), so
`x_(1)=-2`,
`y_(1)=1`,
`x_(2)=2`, and
`y_(2)=-1`. Let's replace the values in our formula to find
`m`:

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

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

`m=(-2)/(2+2)`

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

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

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

The slope of the graph of the linear function is
`-(1)/(2)`; since
`-(1)/(2)` is a negative number, the slope of the graph is negative.