Section 15.1: Cartesian Coordinates and Graphing Lines
15.1 Outline
A. Solving equations with two variables
1. satisfy an equation
2. solution
B. Cartesian coordinate system
1. definition
2. axis, origin, quadrants
3. coordinates
a. abscissa
b. ordinate
C. Graphing a line by plotting pints
1. graph of a line
2. procedure
D. Graphing a line by slope-intercept
1. standard form
2. first-degree
equation
3. linear equation
4. independent/dependent
variable
5. intercepts
a. y-intercept
B. x-intercept
6. slope
7. slope-intercept form
8. slope point
9. special cases
a. horizontal line
b. vertical line
15.1 Essential Ideas
The first-degree equation
y = mx + b
where b is the y-intercept and m
is the slope is called the slope-intercept form of the
equation of a line.