Explanation as well pleaseeeeeeee
Find the slope of the line.

Answer:
To start, the slope is -2.
To solve for the slope you want to take two coordinates, lets say (1, -1) and (0,1) you would want to plug them into the slope formula.
This is
[tex]y_{2} - y_{1} \\----\\x_{2} - x_{1}[/tex]
(1, -1) is coordinate one. Which means 1 = [tex]x_{1}[/tex] and -1 is = [tex]y_{1}[/tex]
And
(0,1) is coordinate two. Which means 0 = [tex]x_{2}[/tex] and 1 is = [tex]y_{2}[/tex]\
If you put in the values you will get
[tex]\frac{-2}{1}[/tex]
Therefor, the slope is -2.
to the risk of sounding redundant.
to get the slope of a line we can simply use two points on the line, say like the fellow above using (1,-1) and (0,1)
[tex]\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-1)}{0-1}\implies \cfrac{1+1}{-1}\implies \cfrac{2}{-1}\implies -2[/tex]