GIVEN:
We are given the coordinates on a line and that is;
[tex](6,-4)[/tex]
Required;
Find the equation and the slope of the line that is parallel to the x-axis and passes through the point indicated above.
Step-by-step equation;
First thing to note is, for a line parallel to the x-axis, the line is a horizontal axis. This means the x coordinates can vary from any point to another while the value of the y-coordinate will not change. If it does, then the line would have to move and will no longer be parallel to the horizontal axis. Therefore, for a line that passes through the point
[tex](6,-4)[/tex]
The y-coordinate is -4. This means the y-coordinate will be the same at every point chosen.
The equation therefore is
[tex]y=-4[/tex]
To determine the slope of this line, we shall take any other point at random. We shall now take for example, point
[tex](12,-4)[/tex]
We can now calculate the slope using the formula;
