Question

What is the gradient of the blue line?

5
4
3
2
1
-5 -4 -3 -2 - 1 0 1. 2. 3. 4. 5
- 1
- 2
- 3
- 4
- 5




The line starts at (-5,3) and finishes (5,0.5)​

Answer 1

The gradient is -0.25

Explanation:

Given

`(x_1,y_1) = (-5,3)`

`(x_2,y_2) = (5,0.5)`

Required

The gradient (m)

This is calculated as:

`m = (y_2 - y_1)/(x_2 - x_1)`

So, we have:

`m = (0.5-3)/(5--5)`

`m = (-2.5)/(10)`

`m = -0.25`