Answer:
2/3
Step-by-step explanation:
Parallel lines have the same slopes. Therefore,
[tex]m_{k} =m_{p}[/tex]
The slope of line k ([tex]m_{k}[/tex]) will be equal to the slope of the line parallel to k ([tex]m_{p}[/tex]).
We know that the slope of line k is 2/3.
[tex]m_{k}=\frac{2}{3}[/tex]
Therefore, the slope of the line parallel to line k is also 2/3.
[tex]\frac{2}{3}=m_{p}[/tex]
The slope of a line parallel to line k is 2/3.
