Answer: The gradient of the line segment between the points (-5,2) and (4,3) is
.
Explanation:
Formula for gradient of a line segment :
![\text{Gradient}=\frac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/y59zv1nm9wmllqjuuygtypu6hex37jxxzk.png)
Given points of the line segment: (-5,2) and (4,3)
![\text{Gradient} =(3-2)/(4-(-5))](https://img.qammunity.org/2022/formulas/mathematics/high-school/r1mhdghpqs0dsvw0bgjtfhpsudn4mw10nq.png)
![\text{Gradient} =(1)/(4+5))](https://img.qammunity.org/2022/formulas/mathematics/high-school/vq5by714kc2wg1s32cu35f4w91x5oshaa9.png)
![\text{Gradient} =(1)/(9)](https://img.qammunity.org/2022/formulas/mathematics/high-school/apnja8oqob8yephwt4hf9y08ch8j05s6hz.png)
Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is
.