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
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{0-0}{2-(-4)}[/tex]
[tex]m=\dfrac{0}{2+4}[/tex]
[tex]m=\dfrac{0}{6}[/tex]
[tex]m=0[/tex]
Therefore, the slope of the line that passes through the points (-4, 0) and (2, 0) is 0.