The equation of the line is:
[tex]y=\frac{6}{7}x-5[/tex]Compare with the slope intercept form given by:
[tex]y=mx+c[/tex]To get the slope m and y- intercept c as:
[tex]m=\frac{6}{7},c=-5[/tex]The slopes of parallel lines are equal so the slope of the line parallel to the given line will also be equal to m which is 6/7.
The slope of the parallel line will be 6/7.
