Straight Lines
Akopọ
Straight lines are the simplest curves in coordinate geometry, yet they carry an enormous amount of information. A single equation can describe every point on a line, predict where two lines cross, and reveal whether lines run parallel or meet at right angles. Mastering these ideas gives you a toolkit that appears in almost every other topic on the 4PM1 paper.
In this topic you will calculate gradients, write equations in several standard forms, and apply the conditions for parallel and perpendicular lines. Every technique translates directly into exam marks, so the worked examples follow the exact method that examiners reward.
Awọn Afojusun
- Calculate the gradient of a straight line joining two points
- Know and use the forms y = mx + c and y - y1 = m(x - x1) for the equation of a straight line
- Interpret ax + by = c as a straight line
- Determine the condition for two lines to be parallel or perpendicular
Akọ̀wé Ẹ̀kọ́
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Straight Lines. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- What is the gradient of the line joining (2, 3) and (6, 11)? A) 1/2 B) 2 C) 4 D) 8 Answer: B
- Which of the following lines is parallel to y = 5x - 3? A) y = -5x + 1 B) y = 5x + 7 C) y = x/5 + 2 D) y = -x/5 + 4 Answer: B
- Two perpendicular lines have gradients m1 and m2. Which equation must hold? A) m1 + m2 = 0 B) m1 = m2 C) m1 x m2 = -1 D) m1 x m2 = 1 Answer: C
- The line 4x + 2y = 10 has gradient: A) 4 B) 2 C) -2 D) -4 Answer: C
- A line passes through (0, 7) with gradient -3. What is its equation? A) y = -3x + 7 B) y = 3x + 7 C) y = -3x - 7 D) y = 7x - 3 Answer: A
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Awọn Iwe Itọsọna Ti a Gba Nimọran
Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe
Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Straight Lines? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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