Given,
The equation of lines are
[tex]\begin{gathered} y=\frac{2}{3}x+7 \\ y=\frac{2}{3}x-9 \end{gathered}[/tex]Required
Check whether the lines are parallel or perpendicular.
Here,
The standard equation of the line is
y = mx + c
Where, m is the slope of the line.
The slope of first line is 2/3.
The slope of the second line is also 2/3.
When the slopes of the line is equal then the lines are parallel. When the slope of the line 1 is negative reciprocal of line 2 then the lines are perpendicular.
Here, the slopeof both line is equal (2/3).
Hence, the lines are parallel.
