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

Answer

negative

Explanation

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

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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 $m$:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{-1-1}{2-(-2)}$

$m=\frac{-2}{2+2}$

$m=\frac{-2}{4}$

$m=-\frac{2}{4}$

$m=-\frac{1}{2}$

The slope of the graph of the linear function is $-\frac{1}{2}$; since $-\frac{1}{2}$ is a negative number, the slope of the graph is negative.