Answer:
![y=(4)/(3)x-1.75](https://img.qammunity.org/2021/formulas/mathematics/college/hvyqox7owqtfkg7jwnclm70686bwg7xn2n.png)
Explanation:
If the slope of a line is 4/3,
and we wanna find the equation of a line that is parallel to it and crosses through (5,5).
So we already have the slope because the slope of 2 parallel lines are the same.
y = 4/3x
Look at the image below↓
So now we just need to find the y-intercept.
After some numbers we got,
![y=(4)/(3)x-1.75](https://img.qammunity.org/2021/formulas/mathematics/college/hvyqox7owqtfkg7jwnclm70686bwg7xn2n.png)
Look at the other image below↓
Thus,
the equation of the parallel line is
.
Hope this helps :)