Find the gradient of the line segment between the points (-1,1) and (-1,4).

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

Step-by-step explanation:

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

michael scott & dwight schrute

step-by-step explanation:

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area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2