Question

Find the gradient of the line segment between the points (2,3) and (4,7).

Answer 1

Gradient or Slope of a line is given by_

Gradient = (y2 - y1)/(x2 - x1) = (7 - 3)/(4 - 2) = 4/2 = 2

ANSWER - Gradient = 2

Answer 2

The gradient of the line segment between the points (2,3) and (4,7) is 2

Given :

The points (2,3) and (4,7)

To find :

The gradient of the line segment between the points (2,3) and (4,7)

Formula :

For the given two points ( x₁ , y₁) & (x₂ , y₂)

The gradient of the line AB is

$\displaystyle \sf{ = \frac{y_2 - y_1}{x_2 - x_1} }$

Solution :

Step 1 of 2 :

Write down the given points

Here the given points are (2,3) and (4,7)

Step 2 of 2 :

Find gradient of the line

The gradient of the line

$\displaystyle \sf{ = \frac{7 - 3}{4 - 2} }$

$\displaystyle \sf{ = \frac{4}{2} }$

$\displaystyle \sf{ = 2}$

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