Answer:
The slope is 1/3.
Step-by-step explanation:
The formula for slope is [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1} }[/tex] where [tex]y_{1}[/tex] and [tex]x_{1}[/tex] are the y- and x-coordinates of the first point, and [tex]y_{2}[/tex] and [tex]x_{2}[/tex] are the y- and x-coordinates of the second point, respectively.
Inputting our values into our formula, we get [tex]\frac{2-4}{(-4)-2}[/tex]. Solving for the numerator first, we get [tex]\frac{-2}{(-4)-2}[/tex]. Solving for the denominator, we get [tex]\frac{-2}{-6}[/tex]. This simplifies to 1/3.
