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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11.
Graphing Functions
11.1
Domain and range of a function
11.2
Identifying functions
11.3
Function notation
11.4
Graphing linear functions using table of values
11.5
Graphing from slope-intercept form y=mx+b
11.6
Graphing linear functions using x- and y-intercepts
11.7
Using elimination method to solve systems of equations
11.8
Using substitution method to solve systems of equations
CLEP College Math