For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
![y = mx + b](https://img.qammunity.org/2020/formulas/mathematics/high-school/fc4cgm6covys37zv2opmmp9ps4jxyjepvh.png)
Where:
m: It's the slope
b: It is the cut-off point with the y axis.
In addition, we have that by definition, a horizontal line has zero slope. Then the equation will be of the form:
![y = b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fvdbuzupsae49m3tk9e6uor906zwcpb7ok.png)
We substitute the "y" coordinate of the given point:
![(x, y) :( 9, -7)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2pb50i7tweenarvu2tdommwuqugm998zqr.png)
So:
![-7 = b](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2ulv4x9f4y380009xs8tuccjalwmzqmuta.png)
So, the equation is
![y = -7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b5j7w1j6z4w6wye9ysdto38kbiihxqocjo.png)
Answer:
![y = -7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b5j7w1j6z4w6wye9ysdto38kbiihxqocjo.png)