Answer:
The gradient of the line segment between the points (1,-1) and (3,-13) is -6
Step-by-step explanation:
We need to find the gradient of the line segment between the points (1,-1) and (3,-13)
The gradient is basically the slope of line.
The formula used to calculate slope\gradient is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
We have [tex]x_1=1, y_1=-1, x_2=3, y_2=-13[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\\\Slope=\frac{-13-(-1)}{3-1} \\Slope=\frac{-13+1}{2} \\Slope=\frac{-12}{2}\\Slope=-6[/tex]
So, gradient of the line segment between the points (1,-1) and (3,-13) is -6