1. Graphing Equations in Slope-Intercept Form
LESSON 4–1
Graphing Equations in Slope-Intercept Form

2. What is the slope of the line that passes through (–4, 8) and (5, 2)?
5-Minute Check 1

3. Suppose y varies directly as x and y = –5 when x = 10
Suppose y varies directly as x and y = –5 when x = 10. Which is a direct variation equation that relates x and y?
5-Minute Check 2

4. Find the next two terms in the arithmetic sequence –7, –4, –1, 2, ….

5. Is the function represented by the table linear? Explain.
5-Minute Check 4

6. Mathematical Processes A.1(E), A.1(F)
Targeted TEKS
A.3(A) Determine the slope of a line given a
table of values, a graph, two points on the line,
and an equation written in various forms,
including y = mx + b, Ax + By = C, and y - y1 =
m(x - x1).
A.3(C) Graph linear functions on the coordinate plane and identify key features, including x-intercept,
y-intercept, zeros, and slope, in mathematical
and real-world problems. Also addresses A.2(A).
Mathematical Processes
A.1(E), A.1(F)
TEKS

7. slope-intercept form
constant function
Vocabulary

8. Concept

9. Write and Graph an Equation
Write an equation in slope-intercept form of the line with a slope of and a y-intercept of –1. Then graph the equation.
Example 1

10. Write an equation in slope-intercept form of the line whose slope is 4 and whose y-intercept is 3.
Example 1

11. Changing from standard to Slope intercept.
Example 1

12. Graph Linear Equations
Graph 5x + 4y = 8.
Example 2

13. Graph 3x + 2y = 6. Using Slope-Intercept Form.
Example 2

14. Graph Linear Equations
Graph y = –7.
Example 3

15. Graph 5y = 10.
Example 3

16. Write an Equation in Slope-Intercept Form
Write the equation in slope-intercept form for the line shown in the graph?
Example 4

17. Write the equation in slope-intercept form for the line shown in the graph?
Example 4

18. Example 4

20. Write and Graph a Linear Equation
HEALTH The ideal maximum heart rate for a 25-year-old exercising to burn fat is 117 beats per minute. For every 5 years older than 25, that ideal rate drops 3 beats per minute.
A. Write a linear equation to find the ideal maximum heart rate for anyone over 25 who is exercising to burn fat.
B. Graph the equation.
C. Find the ideal maximum heart rate for a 55-year-old person exercising to burn fat.
Example 5

21. A. The amount of money spent on Christmas gifts has increased by an average of $150,000 ($0.15 million) per year since Consumers spent $3 million in Write a linear equation to find the average amount D spent for any year n since 1986.
Example 5

22. B. The amount of money spent on Christmas gifts has increased by an average of $150,000 ($0.15 million) per year since Consumers spent $3 million in Graph the equation.
A B.
C D.
Example 5

23. C. The amount of money spent on Christmas gifts has increased by an average of $150,000 ($0.15 million) per year since Consumers spent $3 million in Find the amount spent by consumers in 1999.
A. $5 million
B. $3 million
C. $4.95 million
D. $3.5 million
Example 5

24. Graphing Equations in Slope-Intercept Form
LESSON 4–1
Graphing Equations in Slope-Intercept Form