1. Graphing Using Slope-Intercept Form
Lesson 16
Linear Equations
Graphing Using Slope-Intercept Form

2. Warm-Up Determine the slope and y-intercept for each linear equation.
y = 2 + 4x
y = x – 5
y = – x + 1
y = 3

3. Graphing Using Slope-Intercept Form
Target:
Graph linear equations in slope-intercept form.

4. Vocabulary
Slope-Intercept Form: Linear equation written in the form y = mx + b.
Discrete: A graph that can be represented by a unique set of points rather than a continuous line.
Continuous: A graph which can be drawn from beginning to end without lifting your pencil.

5. Slope-Intercept Form of a Linear Equation
y = mx + b
The slope of the line is represented by m.
The y-intercept is b.

6. Example 1 Graph y = x – 2. Clearly mark at least 3 points on the line.
Find the slope and y-intercept. m = b = –2
Graph y-intercept.
Use the slope to find two more points.
Draw the line.

7. Slope-Intercept Form of a Linear Equation
Steps to graph using the graphing calculator.
Press the “Y=“ button
Type in the equation using “Alpha, Y=, 1” for fractions, and “X,T,O,n” for the X
Press the “graph” button
Press “2nd, TRACE, 5” to find the Y-intercept

8. Example 2
Graph each linear equation. Clearly mark at least three points on each line. y = 6 – 2x y = – x + 1

9. Exit Problems Graph each linear equation. Clearly mark at least
three points on each line.
y = x – 1
y = 4 – 3x
y = –1

10. Communication Prompt
How can you tell if a line is going to be a vertical line or
a horizontal line based on its equation?