7.1: Objectives
After completing the chapter, you should
Graphing Linear Equations and Inequalities In One Variable
- understand the concept of a graph and the relationship between axes, coordinate systems, and dimension
- be able to construct one-dimensional graphs
Plotting Points in the Plane
- be familiar with the plane
- know what is meant by the coordinates of a point
- be able to plot points in the plane
Graphing Linear Equations in Two Variables
- be able to relate solutions to a linear equation to lines
- know the general form of a linear equation
- be able to construct the graph of a line using the intercept method
- be able to distinguish, by their equations, slanted, horizontal, and vertical lines
The Slope-Intercept Form of a Line
- be more familiar with the general form of a line
- be able to recognize the slope-intercept form of a line
- be able to interpret the slope and intercept of a line
- be able to use the slope formula to find the slope of a line
Graphing Equations in Slope-Intercept Form
- be able to use the slope and intercept to construct the graph of a line
Finding the Equation of a Line
- be able to find the equation of line using either the slope-intercept form or the point-slope form of a line
Graphing Linear Inequalities in Two Variables
- be able to locate solutions linear inequalitites in two variables using graphical techniques