Respuesta :

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.

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