Answer:
the slope is [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
The slope is the 'rise' divided by the 'run'
so pick any 2 points on the line.
First, look at the left point and read its x and y coordinates (x is 'run' or left-right and y is 'rise' or up-down)
Then, look at the 2nd point and compare how many units to the right it 'ran' and how many units up it 'rose'
slope='rise'/'run'
so in your case
pick 2 convinent points
I pick (-3,0) and (-1,-1)
from (-3,0) to (-1,-1), 'rose' by -1 units (-1-0=-1) and the points 'ran' to the right 2 units (-1-(-3)=2)
therefore, the slope is 'rise'/'run'=-1/2
alternately, use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where [tex]m[/tex] is the slope and the 2 points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
in this case, (-3,0) and (-1,-1)
[tex]x_1=-3[/tex]
[tex]y_1=-0[/tex]
[tex]x_2=-1[/tex]
[tex]y_2=-1[/tex]
subsitute
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-0}{-1-(-3)}=-\frac{1}{2}[/tex]
