Mathematics - Additional - 0606 CIE

The Equation Of A Straight Line

Akopọ

A straight line is the simplest graph there is, and yet it underlies an enormous amount of mathematics. Its entire behaviour is captured by two numbers: a gradient that fixes its steepness and an intercept that fixes its position. Master the equation of a line and coordinate geometry opens up.

In this lesson you will use the two standard forms, \(y=mx+c\) and \(y-y_1=m(x-x_1)\), to find the equation of a line from a gradient and a point, or from two points. These are the everyday tools of the coordinate geometry section.

Awọn Afojusun

  1. Use the equation of a straight line in the forms y = mx + c and y - y1 = m(x - x1).

Akọ̀wé Ẹ̀kọ́

Lines model any constant rate of change: a fixed price per item, a steady speed, a linear trend in data. Being able to write a line's equation from the information given is the foundation for tangents, perpendicular bisectors and the linear-law techniques later in the course.

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 akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

Ìdánwò Ẹ̀kọ́

Oriire fun ipari ẹkọ lori The Equation Of A Straight Line. 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.

  1. In y = mx + c, the letter c represents the: A. gradient B. y-intercept C. x-intercept D. midpoint Answer: B
  2. The equation of the line with gradient 2 through (3, 4) is: A. y = 2x - 2 B. y = 2x + 2 C. y = 2x - 10 D. y = 2x + 4 Answer: A
  3. The gradient of the line through (1, 2) and (4, 11) is: A. 2 B. 3 C. 9 D. 1/3 Answer: B
  4. The equation of the line through (1, 2) and (4, 11) is: A. y = 3x - 1 B. y = 3x + 1 C. y = x + 1 D. y = 3x - 7 Answer: A
  5. Which is the point-gradient form of a line? A. y = mx + c B. y - y1 = m(x - x1) C. y = m + cx D. x = my + c Answer: B

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 akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

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 akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe

Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa The Equation Of A Straight Line? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.

Ṣe igbasilẹ ohun elo naa lori Google Playstore

Gbogbo ohun ti o nilo lati ṣe dara julọ ninu JAMB, WAEC ati NECO.

Green Bridge CBT Mobile App
Asiko ẹkọ AI ti ara ẹni Chat Assistant
Ẹgbẹẹgbẹrun Awọn Ibeere Atijọ JAMB, WAEC & NECO
Fiwọn 1200 Awọn akọsilẹ Ẹkọ ju.
Atilẹyin Aisinipo - Kọ ẹkọ Nigbakugba, Nibi gbogbo
Tẹ̀dí Green Bridge
Àkójọpọ̀ Ìtàn Lítíréṣọ̀ & Ìbéèrè Tó Lè Dáyéé ṣẹ́lẹ̀
Tẹle iṣẹ ṣiṣe rẹ ati ilọsiwaju rẹ.
Àlàyé tí ó jinlẹ̀ fún ìmòye tó jinlẹ̀.