002 | IB Math SL | Straight Lines | The Equation of a Line | Exercise 1A

CHAPTER 1 - Straight Lines
Exercise 1A - The Equation of a Line

In this video, you will work through every question in Exercise 1A from Chapter 1 of Haese Mathematics SL, building a solid foundation in writing and interpreting equations of straight lines. You will practise identifying gradient and y-intercept from equations, applying point-gradient form y - y1 = m(x - x1), and converting between gradient-intercept form y = mx + c and general form ax + by = d. Problems also include finding equations of lines through two given points, identifying parallel and perpendicular lines, and verifying whether a point lies on a line.

📚 Topics Covered:
Identifying gradient and y-intercept from y = mx + c
Writing equations using point-gradient form: y - y1 = m(x - x1)
Converting between gradient-intercept form and general form ax + by = d
Finding equations of lines passing through two points
Recognising parallel lines (equal gradients) and perpendicular lines (m2 = -1/m1)
Checking whether a given point lies on a line

🎯 Useful For:
IB Math SL students (Applications & Interpretation / Analysis & Approaches)
Students preparing for IB Math Paper 1 and Paper 2
Haese Mathematics SL Core Topics textbook users

📖 Chapter: Straight Lines
📝 Exercise / Review Set: Exercise 1A
📗 Book: Haese Mathematics — SL Core Topics (IB Diploma Programme)

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00:00:02 Intro
00:00:22 Define line
00:00:43 Line equation
00:00:58 Gradient explained
00:02:21 Gradient formula
00:02:58 Y-intercept definition
00:03:34 X-intercept definition
00:04:08 Example: Intercepts
00:06:39 Perpendicular lines
00:07:45 Perpendicular gradient
00:08:26 Equation forms
00:09:18 Point-gradient form
00:09:39 Gradient-intercept form
00:10:08 General form
00:10:28 Exercise Q1
00:13:45 Exercise Q2
00:15:54 Gradient direction
00:19:25 Exercise Q3
00:26:10 Exercise Q4
00:27:26 Exercise Q5
00:36:46 Exercise Q6
00:41:42 Exercise Q7
00:42:58 Exercise Q8
00:46:16 Exercise Q9
00:47:45 Exercise Q10
00:49:43 Exercise Q11
00:51:27 Exercise Q12
00:54:03 Exercise Q13
00:57:22 Exercise Q14
00:59:08 Exercise Q15
01:02:05 Exercise Q16
01:03:06 Exercise Q17
01:08:01 Exercise Q18
01:11:42 Exercise Q19
01:13:45 Exercise Q20
01:15:11 Exercise Q21
01:15:47 Exercise Q22

Видео 002 | IB Math SL | Straight Lines | The Equation of a Line | Exercise 1A канала IB Math Solution