Question

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

Answer 1

Answer:

2

Step-by-step explanation:

Answer 2

Concept:

Gradient: The gradient of a line segment is also called its slope. Slope is defined as the measure of a line segment's inclination relative to the horizontal. Gradient or slope is the ratio of vertical distance to horizontal distance between points of the line segment.

Suppose a line segment is AB where A = (x₁, y₁) and B = (x₂, y₂).

Then the gradient or slope, m = (y₂ - y₁)/(x₂ - x₁)

Given:

The points (2, -2) and (0, -6).

Let A = (2, -2) and B = (0, -6)

Find:

The gradient or slope of the line segment AB.

Solution:

Here, A = (2, -2) and B = (0, -6)

∴ x₁ = 2

y₁ = -2

x₂  = 0

y₂ = -6

As we know,

Gradient, m = (y₂ - y₁)/(x₂ - x₁)

Putting the values in above formula, we get

m = [(-6) - (-2)] / [0 - 2]

   = (-6 + 2)/(-2)

   = (-4)/(-2)

    = 2

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

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