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- GCE N(A)-Level A Maths
- Linear Functions

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Get Started Now- Intro Lesson5:49
- Lesson: 1a2:16
- Lesson: 1b2:02
- Lesson: 1c2:46
- Lesson: 2a2:38
- Lesson: 2b1:53

One of the ways to graph a linear function is by using the x-and y-intercepts. If we know any two points of a straight line, it's just a piece of cake to determine its equation and graph. In order to do that, we need to find out those intercepts by solving the function first.

Related Concepts: Graphing linear functions using table of values, Graphing linear functions using various forms, Graphing linear functions using a single point and slope

• To find the x-intercept, we plug in $y=0$ into the equation.
• To find the y-intercept, we plug in $x=0$ into the equation.

- Introduction
__Introduction to graphing linear functions using x- and y-intercepts__i) What are x- and y-intercepts?

ii) How to find the intercepts?

- 1.
**Determine The Graph of a Function**Graph the following functions using the X-int & Y-int

a)$y = 2x + 7$b)$3y = 5x - 6$c)$y = \frac{2}{3}x +4$ - 2.
**Determine The Graph of a Function in Standard Form**Graph the following functions using the x- and y-intercepts:

a)$-2x+3y=6$b)$x-y=4$

3.

Linear Functions

3.1

Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

3.2

Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$

3.3

Gradient equation: $m = \frac{y_2-y_1}{x_2- x_1}$

3.4

Gradient intercept form: y = mx + b

3.5

General form: Ax + By + C = 0

3.6

Gradient-point form: $y - y_1 = m (x - x_1)$

3.7

Rate of change

3.8

Graphing linear functions using table of values

3.9

Graphing linear functions using x- and y-intercepts

3.10

Graphing from slope-intercept form y=mx+b

3.11

Graphing linear functions using a single point and gradient

3.12

Word problems of graphing linear functions

3.13

Applications of linear relations