Question

Find the slope of each line.

Find the slope of the line through each pair of points.

6. A (2,6), B (8,1)
7. E (1,-2), F(4,-8)
8.N (-5,2),Q(1,-4)
9.G (3,4),H(6,10)

Answer 1

To find the slope of the line through each pair of points, we can use the following formula:

```

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

```

where (x1, y1) and (x2, y2) are the coordinates of the two points.

**6. A (2,6), B (8,1)**

```

Slope = (1 - 6) / (8 - 2)

Slope = -5 / 6

```

**7. E (1,-2), F(4,-8)**

```

Slope = (-8 - (-2)) / (4 - 1)

Slope = -6 / 3

Slope = -2

```

**8. N (-5,2), Q(1,-4)**

```

Slope = (-4 - 2) / (1 - (-5))

Slope = -6 / 6

Slope = -1

```

**9. G (3,4), H(6,10)**

```

Slope = (10 - 4) / (6 - 3)

Slope = 6 / 3

Slope = 2

```

Therefore, the slopes of the lines through each pair of points are:

* **6. A (2,6), B (8,1)**: -5/6

* **7. E (1,-2), F(4,-8)**: -2

* **8. N (-5,2), Q(1,-4)**: -1

* **9. G (3,4), H(6,10)**: 2

Explanation: