Question

Find the gradient of the line segment between the points (1,-1) and (3,-13)

Answer 1

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: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=1, y_1=-1, x_2=3, y_2=-13$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\\\Slope=\frac{-13-(-1)}{3-1} \\Slope=\frac{-13+1}{2} \\Slope=\frac{-12}{2}\\Slope=-6$

So, gradient of the line segment between the points (1,-1) and (3,-13) is -6