IB Mathematics Applications & Interpretation Topic SL 2.1—equations of a Line Revision Notes (SL/HL)

IB Mathematics Applications & Interpretation Topic SL 2.1—equations of a Line Revision Notes (SL/HL) | RevisionDojo

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Equations of Straight Lines

Different Forms of Linear Equations

Linear equations can be expressed in various forms, showing different properties of the line, such as intercepts, gradients, and points:

Gradient-Intercept Form: $y = mx + c$
- $m$ represents the gradient (slope) of the line
- $c$ is the y-intercept (where the line crosses the y-axis)
General Form: $ax + by + d = 0$
- $a$, $b$, and $d$ are constants
- Can be rearranged to gradient-intercept form: $y = -\frac{a}{b}x - \frac{d}{b}$
Point-Gradient Form: $y - y_1 = m(x - x_1)$
- $(x_1, y_1)$ is a point on the line
- $m$ is the gradient

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Lorem ipsum dolor sit amet, consectetur adipiscing elit.
Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum.

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Equations of Straight Lines

Different Forms of Linear Equations

Linear equations can be expressed in various forms, showing different properties of the line, such as intercepts, gradients, and points:

Gradient-Intercept Form: $y = mx + c$
- $m$ represents the gradient (slope) of the line
- $c$ is the y-intercept (where the line crosses the y-axis)
General Form: $ax + by + d = 0$
- $a$, $b$, and $d$ are constants
- Can be rearranged to gradient-intercept form: $y = -\frac{a}{b}x - \frac{d}{b}$
Point-Gradient Form: $y - y_1 = m(x - x_1)$
- $(x_1, y_1)$ is a point on the line
- $m$ is the gradient

Definition

Paywall

(on a website) an arrangement whereby access is restricted to users who have paid to subscribe to the site.

anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua

Duis aute irure dolor in reprehenderit

Note

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam quis nostrud exercitation.

Excepteur sint occaecat cupidatat non proident

Tip

Lorem ipsum dolor sit amet, consectetur adipiscing elit.
Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum.

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Number and Algebra15 subtopics

Functions10 subtopics

Geometry and Trigonometry16 subtopics

Statistics and Probability19 subtopics

Calculus18 subtopics

IB Mathematics Applications & Interpretation SL 2.1—equations of a Line Notes

Number and Algebra15 subtopics

Functions10 subtopics

Geometry and Trigonometry16 subtopics

Statistics and Probability19 subtopics

Calculus18 subtopics

Equations of Straight Lines

Different Forms of Linear Equations

anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua

Duis aute irure dolor in reprehenderit

Excepteur sint occaecat cupidatat non proident

Unlock the rest of this chapter with a free account

Equations of Straight Lines

Different Forms of Linear Equations

anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua

Duis aute irure dolor in reprehenderit

Excepteur sint occaecat cupidatat non proident

Unlock the rest of this chapter with a free account