Hello!
To calculate the slope of a line you use the following equation.
[tex] \frac{ y_{2}- y_{1} }{ x_{2}- x_{1} } [/tex]
The ones and twos just represent different points on the line. We will have (0,0) be ([tex] x_{1} , y_{1} [/tex]) and (6,-2) be ([tex] x_{2} , y_{2} [/tex])
Now we will plug these values into the equation.
[tex] \frac{-2-0}{6-0} = - \frac{2}{6} = -\frac{1}{3} [/tex]
The slope of our line is [tex]- \frac{1}{3} [/tex]
I hope this helps!
