The equation of the line is:
![y=(6)/(7)x-5](https://img.qammunity.org/2023/formulas/mathematics/college/fhy1b05wjqla8h3qww197m6i6umnmmh8h1.png)
Compare with the slope intercept form given by:
![y=mx+c](https://img.qammunity.org/2023/formulas/mathematics/high-school/r9wr7tk2q8cfcans6j0owflua8au85op0h.png)
To get the slope m and y- intercept c as:
![m=(6)/(7),c=-5](https://img.qammunity.org/2023/formulas/mathematics/college/k9289wed2r4d0tilkb2p0kcfft1fz4it4e.png)
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.