Given:
Two points are (-6,4) and (-4,10).
To find:
The gradient of the line segment between the given points.
Solution:
Gradient (slope) of the line segment between the given points is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Two endpoints of the line segment are (-6,4) and (-4,10). So, the gradient is
[tex]m=\dfrac{10-4}{-4-(-6)}[/tex]
[tex]m=\dfrac{6}{-4+6}[/tex]
[tex]m=\dfrac{6}{2}[/tex]
[tex]m=3[/tex]
Therefore, the gradient of the line segment between the points (-6,4) and (-4,10) is 3.
