Before graphing linear equations, make sure you understand the concepts of graphing slope since it is very similar. The standard form of a linear equation is y = mx + b; m is the slope and b is the y-intercept (the y-intercept is a point on the y-axis) Follow the following guidelines to graph a linear equation: Method 1 Slopes: positive, negative, no slope (zero), undefined. Remember, linear equations have constant slope. For a line on the coordinate plane, slope is the following ratio. This ratio is often referred to as “rise over run”. Find the slope of the line that passes through each pair of points.
0 = Ax + By + C. The formula 0 = Ax + By + C is said to be the 'general form' for the equation of a line. A, B, and C are three real numbers. Once these are given, the values for x and y that make the statement true express a set, or locus, of (x, y) points which form a certain line. A line going through the point and having slope of m would have the equation. In example 1 above, the information was given to us in a nice neat little package, all ready for us to directly plug it into the Example 4: Find the equation of the line with the given slope and containing the given point.
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