Given:
Slope of line F =
![-(6)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/lchar8nbs4spos48ronq3kknk2dnirw0jt.png)
Slope of line G =
![-(8)/(4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/zd4zu01i9vaeqns57tdn3wwskhdlio97n8.png)
To find:
The conclusion about distinct lines F and G.
Solution:
We have,
Slope of line F =
![-(6)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/lchar8nbs4spos48ronq3kknk2dnirw0jt.png)
=
![-2](https://img.qammunity.org/2022/formulas/mathematics/college/sdsu9svkllx3i8hyywism1r0jzcwvl4do2.png)
Slope of line G =
![-(8)/(4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/zd4zu01i9vaeqns57tdn3wwskhdlio97n8.png)
=
![-2](https://img.qammunity.org/2022/formulas/mathematics/college/sdsu9svkllx3i8hyywism1r0jzcwvl4do2.png)
The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.
Therefore, the line F and line G are parallel to each other.