1. Chapter 10 – Topics in Analytic Geometry

2. Section 10.1 – Lines

3. Examples: Find the angle of inclination of the line 3x – 4y = 7. Find the angle of inclination of the line 2x + 5y = 11.

4. Find the angle formed between the intersection of the lines 3x – 5y = 7 and also 2x – 9y = 1. Find the angle formed between the intersection of the lines 4x + 2y = 7 and also 3x – 5y = 10.

5. Find the distance between the point (4, 1) and the line y = 2x + 1. Find the distance between (5, -6) and the line y = 6x – 5.

6. Find the distance between the parallel lines 4x + 3y + 7 = 0 and 4x + 3y – 2 = 0 Find the distance between the parallel lines 2x – 9y + 4 = 0 and 2x – 9y – 8 = 0. Find the distance between the parallel lines

7. Find the area of the triangle formed by the points A(-3, 0) B(0, 4) and C(5, 2)

8. Two mountains are shown below. ◦ Find the angle formed between the two bases of the mountains. ◦ Find the vertical height of each mountain. ◦ Find the distance between the two peaks.

9. Find the angles