Question

Find the gradient of the line segment between the points (-1,3) and (1,-2).

Give your answer in its simplest form.

Answer 1

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Answer 2

The gradient of the line segment between the two points is -1

Explanation:

The gradient of the line segment between two points is also known as the slope,

We can find this by using the formula; y₂ - y₁ / x₂ - x₁

The points given to us are;(-1,2) and (-2,3).

This implies x₁ = -1 , y₁=2 x₂ = -2 y₂= 3

We can now proceed to insert our values into the formula;

Gradient = y₂ - y₁ / x₂ - x₁

= 3 - 2 / -2-(-1)

= 1 / -2 + 1

=1/-1

Gradient = -1

Therefore the gradient of the line segment between the two points is -1