Question

Find the gradient of the line segment between the points (-2,-2) and (0,-6).

Answer 1

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Given:

• Two points, (-2,-2) & (0,-6)

To find:

• Gradient of the line segment between these points.

Solution:

Let the points be A and B respectively.

➡ $\text{Gradient(slope) of AB} = \dfrac{y_{_2} - y_{_1}}{x_{_2} - x_{_1}}$

$\text{Where, x _{_1} = -2, x _{_2} = 0, y _{_1} = -2 and y _{_2} = -6}$

➡ $\text{Gradient(slope) of AB} = \dfrac{(-6) - (-2)}{(0) - (-2)}$

➡ $\text{Gradient(slope) of AB} = \dfrac{-6 + 2}{0 + 2}$

➡ $\bf{\text{Gradient(slope) of AB} = \dfrac{-4}{2} = -2}$

The gradient of the line segment between the points (-2,-2) and (0,-6) is -2.

Formula Used:

• $\text{Gradient(slope) of a line} = \dfrac{y_{_2} - y_{_1}}{x_{_2} - x_{_1}}$

Answer 2

Step-by-step explanation:

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