Answer: [tex]m=0[/tex]
Step-by-step explanation:
The slope can be calculated with this formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Notice that the formula shows the change in "y" for a unit change in "x" on the line.
In order to solve this exercise, it is important to remember that:
1. If a line is increasing, then its slope is positive.
2. If a line is decreasing, then its slope is negative.
3. If the line is horizontal, its slope is zero.
4. If the line is vertical, it has no slope.
Therefore, since the given line that passes through the point [tex](3,-4)[/tex], is horizontal, its slope is:
[tex]m=0[/tex]
