Answer:
b.
![y=5x+1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/83whhstqnh38gshi2vln6z0e3uk9ez1po8.png)
Explanation:
Slope-intercept form:
![y=mx+b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yj5waqmoy4i54laybzhhshd88hyo5w5rj5.png)
- m is the slope
- b is the y-intercept
- x and y are the corresponding coordinate points (x,y)
When two lines are parallel, their slopes are the same. Note the slope of the given equation:
![y=5x+7\\\\m=5](https://img.qammunity.org/2021/formulas/mathematics/high-school/vyo9maypuuphxzd39nsjnoi992yq2can6e.png)
The slope is 5, so the slope for the parallel equation will also be 5:
![y=5x+b](https://img.qammunity.org/2021/formulas/mathematics/high-school/gxwaqe0bujypml2qm0b06el545flq4rflr.png)
Now insert the given y-intercept:
![b=1\\\\y=5x+1](https://img.qammunity.org/2021/formulas/mathematics/high-school/n3av2n25c4q0soon6u7wfwf3mgjkb3qnyk.png)
:Done