Answer & Step-by-step explanation:
Use the slope formula:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]
The slope is the change in the y-axis over the change in the x-axis, otherwise known as rise over run. Insert values:
[tex](x_{1},y_{1})(x_{2},y_{2})\\\\\frac{-4-(-4)}{2-4}[/tex]
Simplify. Two negatives make a positive:
[tex]\frac{-4+4}{2-4}[/tex]
Solve:
[tex]\frac{0}{-2} =-\frac{0}{2} =0[/tex]
The slope is 0. Plot the two points on a graph and connect with a straight line: