1. Graphing Linear Functions
Section 2.3
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2.3: Graphing Linear Functions

2. REMEMBER: THINK TO DRAW IT OUT! 2.3: Graphing Linear Functions
Steps
Establish the slope of the equation
Identify any points and or y-intercept and plot the points
Apply the slope
Continue the process until at least three points are given
Draw your ARROWED line
REMEMBER: THINK TO DRAW IT OUT!
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2.3: Graphing Linear Functions

3. 2.3: Graphing Linear Functions
Example 1
If given point (0, 2) and the slope of 3, draw the graph
What is the point given?
(0, 2)
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2.3: Graphing Linear Functions

4. 2.3: Graphing Linear Functions
Example 1
If given point (0, 2) and the slope of 3, draw the graph
What is the slope given?
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2.3: Graphing Linear Functions

5. 2.3: Graphing Linear Functions
Example 1
If given point (0, 2) and the slope of 3, draw the graph
What is the rise?
R I S E
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2.3: Graphing Linear Functions

6. 2.3: Graphing Linear Functions
Example 1
If given point (0, 2) and the slope of 3, draw the graph
What is the run?
R U N
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2.3: Graphing Linear Functions

7. 2.3: Graphing Linear Functions
Example 1
If given point (0, 2) and the slope of 3, draw the graph
Plot the point again
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2.3: Graphing Linear Functions

8. 2.3: Graphing Linear Functions
Example 1
If given point (0, 2) and the slope of 3, draw the graph
Draw the arrowed line
What’s the equation?
y = 3x + 2
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2.3: Graphing Linear Functions

9. 2.3: Graphing Linear Functions
Example 2
Graph the equation, y = –2x + 4. Then compare the graph to the parent function, y = x.
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2.3: Graphing Linear Functions

10. 2.3: Graphing Linear Functions
Your Turn
If the graph has a rate of change of 3 and passes through the origin, draw the graph and write the equation
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2.3: Graphing Linear Functions

11. 2.3: Graphing Linear Functions
Example 3
If the graph has a slope of zero and passes through (–1, –5), draw the graph and write the equation.
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2.3: Graphing Linear Functions

12. 2.3: Graphing Linear Functions
Your Turn
If the graph has an undefined slope and passes through (–1, –5), draw the graph and write the equation.
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2.3: Graphing Linear Functions

13. 2.3: Graphing Linear Functions
Finding Intercepts
Linear Standard Equation is Ax + By = C
X-Intercept (Ax = C) value of x when y = 0
Y-Intercept (By = C) value of y when x = 0
Determine the x-intercepts and put it in coordinate form by covering up the y’s
Determine the y-intercepts and put it in coordinate form by covering up the x’s
Make sure to label your answers as POINTS and not equations
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2.3: Graphing Linear Functions

14. 2.3: Graphing Linear Functions
Example 4
Given 3x + 4y = 12, find x- and y-intercepts
What’s leftover?
What’s leftover?
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2.3: Graphing Linear Functions

15. 2.3: Graphing Linear Functions
Example 5
Given 6x − 2y = 12, find x- and y-intercept
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2.3: Graphing Linear Functions

16. 2.3: Graphing Linear Functions
Your Turn
Given y = 4x + 10, find x- and y-intercept
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2.3: Graphing Linear Functions

17. 2.3: Graphing Linear Functions
Assignment
Pg 93: 3-23 EOO, all, EOO
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2.3: Graphing Linear Functions