1. Graphing Linear Equations

2. Chapter Sections
7.1 – The Cartesian Coordinate System and Linear Equations in Two Variables
7.2 – Graphing Linear Equations
7.3 – Slope of a Line
7.4 – Slope-Intercept and Point-Slope Forms of a Linear Equation
7.5 – Graphing Linear Inequalities
7.6 – Functions
Chapter 1 Outline

3. Slope-Intercept and Point-Slope Forms of a Linear Equation

4. Slope-Intercept Form y = mx + b Examples: y = x + y = 4x – 4
In the slope-intercept form, the graph of a linear equation will always be a straight line in the form y = mx + b were m is the slope of The line and b is the y-intercept (0, b).
slope
y-intercept
y = mx + b
Examples:
y = x +
y = 4x – 4
slope is 4
y-intercept is (0, -6)
y-intercept is (0, )
slope is

5. Slope-Intercept Form
Write the equation -3x + 4y = 8 in slope-intercept form.
Solve for y. 4y = 3x + 8
slope is 
y-intercept is (0, 2)

6. Point-Slope Form Example: point (1, 3) and slope = 2:
When the slope and a point on the line are known, we can use the point-slope form to determine the line.
where m is the slope of the line and (x1, y1) is a point.
Example:
point (1, 3) and slope = 2: