Question

Find the gradient of the line segment between the points (4,3) and (5,7).

Answer 1

Answer:

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Answer 2

Answer:

The gradient of the line segment between the points (4,3) and (5,7) = 4

Step-by-step explanation:

Given,

The points in a line segment are (4,3) and (5,7)

To find,

The gradient of the line segment

Recall the formula,

The gradient of the line segment joining the points (x₁,y₁) and (x₂,y₂) is given by

Gradient = $\frac{y_2 - y_1}{x_2 - x_1}$

Solution:

The given points are  (4,3) and (5,7),

then we have,

x₁ = 4, y₁ = 3, x₂ = 5 and y₂ = 7

Gradient = $\frac{y_2 - y_1}{x_2 - x_1}$

= $\frac{7-3}{5-4}$

= 4

Gradient = 4

∴The gradient of the line segment between the points (4,3) and (5,7) = 4

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