9GraphingLINEAR EQUATIONS are what we will focus on the next few weeks.
10Characteristics of Linear Equations How can I look at an equation and know that it will form a line?5 CharacteristicsNo variable has an exponent other than 1 (Ex. 1)No variable is in absolute value (Ex. 2)No variables are multiplied together (Ex. 3)No variable in the denominator (Ex. 4)No more than 2 variable (Ex.: 2x + y + z = 9)If an equation passes these 5 things, it will form a line.
11GraphingWhat do you notice about ALMOST any line you can draw on a graph?Intercepts occur when a graph hits either axis.X-intercept – where the graph crosses the x-axisOccurs when y = 0Y-intercept – where the graph crosses the y-axisOccurs when x = 0
12Graphing Using Intercepts If you know an equation is linear, you may find the x- and y-intercepts and use the 2 points to graph a line.Example: Graph 5x – 2y = 15 using intercepts.