Download Graphing Linear Equations

Graphing Linear Equations (Sec. 3.2)
Linear Equation in Two Variables: An equation that can be written in the form ______________________,
where A, B, and C are real numbers. The graph is a straight line.
Examples of Linear Equations:
Non-Examples of Linear Equations:
Notice that in linear equations, the exponents of x and y is 1. If either has an exponent greater than 1, it is NOT
a linear equation. It is okay to have just x or just y. Take y  7 for example:
y  7  0x  y  7
We can write it in standard form by adding 0x .
Identify if the following are Linear Equations:
y  4x  6
3x  y 2  4
5x  3 y  7
x4
y  4 x2  3
Graphing Linear Equations using Coordinate Points:
(x, y) is a _____________________ __________. “x” is the x-coordinate and “y” is the y-coordinate. We count
to the right (positive) or left (negative) using the ___ - coordinate and up (positive) or down (negative) using the
___-coordinate. We can graph linear equations using coordinate points that are on the line. We will use a table
to help us.
Make a table for the following equations: (Find at LEAST 3 coordinate points)
Example 1: 2 x  y  5
OYO: 3 x  y  6
Graph the following ordered pairs:
Example 2: (1, 3), (0, -5), (-2, 1)
OYO: (-3, 4), (3, 0), (2,-3)
Graph the equation 5 x  3 y  15 by finding and plotting coordinate points.
Graph the equation 2 x  3 y  6 by finding and plotting coordinate points.