Section 3.3 Linear Equations and Intercepts

Remember this from the previous section? You should. If you don’t, you need to. Notice the exponents on the x and y. They must be 1; anything else, and it’s not a linear equaton

You need to be able to determine whether an equation is linear or not by just looking at it. Can you??????Take a look at these problems and see if you can tell.

So, let’s say you want to graph one of these equations. If it is linear, what is the minimum number of points you need to plot? _____What is a better number? _____

Intercepts – do you know what the definition is????x -intercept y -intercept

What is the y-intercept for the figure on the right? ________

How about for x? ____________

What is the ordered pair for the y-intercept for the figure on the right? __________

How about for x? _______________

Terminology

Practice: Graph the following equation by using intercepts. 2x – y = 8

Special CasesHorizontal

and Vertical Lines – you need to check this out in your text. When looking at an equation, you will be expected to “recognize” whether its graph is a horizontal or vertical line.

Homework: MLP (MyLabsPlus) and the following problems from the text.80 Give the answer only.110 Give the answer and explain and/or show how you got it. Graph the equation.

MLP problems & Quiz due _________ Text problems due __________

Homework Sample

x y (x, y)