Given B(10;-2) C(0;5) determine the gradient? ?

To determine the gradient between points B(10,-2) and C(0,5), we can use the formula:

Gradient = (y2 - y1) / (x2 - x1)

Substitute the coordinates of the points into the formula:

Gradient = (5 - (-2)) / (0 - 10)
Gradient = (5 + 2) / (-10)
Gradient = 7 / -10
Gradient = -0.7

Therefore, the gradient between points B(10,-2) and C(0,5) is -0.7.

Step 1: Find the coordinates of the vector BC

The vector BC is given by the difference between the coordinates of C and B:

```
BC = C - B = (0; 5) - (10; -2) = (-10; 7)
```

Step 2: Calculate the gradient of BC

The gradient of a vector is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate. For the vector BC, the gradient is:

```
Gradient = Δy / Δx = (7 - (-2)) / (-10 - 10) = 7/-20 = -7/20
```

Therefore, the gradient of the vector BC is -7/20.