Question

Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form

Answer 1

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is $\dfrac{1}{9}$.

Step-by-step explanation:

Formula for gradient of a line segment :

$\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}$

Given points of the line segment: (-5,2) and (4,3)

$\text{Gradient} =\dfrac{3-2}{4-(-5)}$

$\text{Gradient} =\dfrac{1}{4+5)}$

$\text{Gradient} =\dfrac{1}{9}$

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is $\dfrac{1}{9}$.