Given:
Two points are (-4, 0) and (2, 0).
To find:
The slope of the line that passes through the given points.
Solution:
The line passes through the points (-4, 0) and (2, 0). So, the slope of the line is
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6g6za4c720e5154tr4m4qzakkci1x13a8r.png)
![m=(0-0)/(2-(-4))](https://img.qammunity.org/2021/formulas/mathematics/high-school/j7w3hem51wr8o1tgs2s05iseby1njtvq8x.png)
![m=(0)/(2+4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ry40ugm1al2oninyqggzdktjw3yq5jjcgx.png)
![m=(0)/(6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/gb5wqkrd49prjb6g8tiu1axg98naskudtn.png)
![m=0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ejo7v6f8apqzf3aovi8oslh98eb9n0jrik.png)
Therefore, the slope of the line that passes through the points (-4, 0) and (2, 0) is 0.