Graphing linear functions using x- and y-intercepts

Graphing linear functions using x- and y-intercepts

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.
Basic concepts: Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}, Slope intercept form: y = mx + b,
Related concepts: Graphing linear functions using table of values, Graphing linear functions using various forms, Graphing linear functions using a single point and slope,

Lessons

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

• To find the y-intercept, we plug in x=0x=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+7y = 2x + 7

    b)
    3y=5x−63y = 5x - 6

    c)
    y=23x+4y = \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 -2x+3y=6

    b)
    x−y=4 x-y=4

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18.
Linear Functions
18.1
Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
18.2
Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
18.3
Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
18.4
Gradient intercept form: y = mx + b
18.5
General form: Ax + By + C = 0
18.6
Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
18.7
Rate of change
18.8
Graphing linear functions using table of values
18.9
Graphing linear functions using x- and y-intercepts
18.10
Graphing from gradient-intercept form y=mx+b
18.11
Graphing linear functions using a single point and gradient
18.12
Word problems of graphing linear functions
18.13
Parallel and perpendicular lines in linear functions
18.14
Applications of linear relations
First Year Maths