Answer:
The equation of the horizontal line that passes through the point (2,4) is;
![y=4](https://img.qammunity.org/2023/formulas/mathematics/high-school/wx52g7p0v1iblbd3gyv6qd8su55c639ir8.png)
Step-by-step explanation:
We want to find the equation of an horizontal line that passes through the point;
![(2,4)](https://img.qammunity.org/2023/formulas/mathematics/college/9qq59sexjv9qqkhlwpavxp2v5ymqqu9gv4.png)
A horizontal line is of the form;
![y=a](https://img.qammunity.org/2023/formulas/mathematics/college/bnhhdxru6vmhast2dyd7928bhfusyh35qg.png)
where a is a constant.
For it to pass through the given point, a must be equal to the y value of the coordinate of the given point.
So, the equation is;
![y=4](https://img.qammunity.org/2023/formulas/mathematics/high-school/wx52g7p0v1iblbd3gyv6qd8su55c639ir8.png)
The equation of the horizontal line that passes through the point (2,4) is;
![y=4](https://img.qammunity.org/2023/formulas/mathematics/high-school/wx52g7p0v1iblbd3gyv6qd8su55c639ir8.png)