Answer:
The equation of the line is
![y = (-1)/(4)x -5](https://img.qammunity.org/2019/formulas/mathematics/middle-school/m8gn8u649z0d4meube7x0ls5yugh9xmgz3.png)
Explanation:
Consider the provided information.
The slope intercept form is y = mx + c
where m is the slope of the line and c is the y intercept.
Now consider the provided information, it is given that the slope of the line is -1/4 and y intercept is (0,-5).
So substitute m = -1/4 and c = -5 in the slope intercept form.
![y = (-1)/(4)x + (-5)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/i2fsgrhlawclr1qqavc0wt58drpjf3s6lt.png)
![y = (-1)/(4)x -5](https://img.qammunity.org/2019/formulas/mathematics/middle-school/m8gn8u649z0d4meube7x0ls5yugh9xmgz3.png)
Hence, the equation of the line is
![y = (-1)/(4)x -5](https://img.qammunity.org/2019/formulas/mathematics/middle-school/m8gn8u649z0d4meube7x0ls5yugh9xmgz3.png)