Splash Screen. Over Chapter 3 5-Minute Check 1 What is the slope of the line that passes through (–4, 8) and (5, 2)? A. B. C. D.

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Presentation transcript:

Splash Screen

Over Chapter 3 5-Minute Check 1 What is the slope of the line that passes through (–4, 8) and (5, 2)? A. B. C. D.

Over Chapter 3 5-Minute Check 5 A.2059 B.4000 C.3741 D.2580 Out of 400 citizens randomly surveyed, 258 stated they supported building a dog park. If the survey was unbiased, how many of the city’s 5800 citizens can be expected not to support the dog park?

CCSS Content Standards F.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima. S.ID.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. Mathematical Practices 2 Reason abstractly and quantitatively. 8 Look for and express regularity in repeated reasoning. Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Then/Now You found rates of change and slopes. Write and graph linear equations in slope-intercept from. Model real-world data with equations in slope-intercept form.

Vocabulary slope-intercept form

Example 1 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 A.y = 3x + 4 B.y = 4x + 3 C.y = 4x D.y = 4 Write an equation in slope-intercept form of the line whose slope is 4 and whose y-intercept is 3.

Example 2 Graph Linear Equations Graph 5x + 4y = 8. Solve for y to write the equation in slope-intercept form.

Example 2 Graph 3x + 2y = 6. A.B. C.D.

Example 3 Graph Linear Equations Graph y = –5. Step 1Plot the y-intercept (0,  5). Step 2The slope is 0. Draw a line through the points with the y-coordinate  5.

Example 3 Graph Linear Equations Graph x = –5. Step 1Plot the x-intercept (  5,0). Step 2The slope is Undefined. Draw a line through the points with the x-coordinate  5.

Example 3 Graph 5y = 10. A.B. C.D.

Example 4 Which of the following is an equation in slope-intercept form for the line shown in the graph? A. B. C. D.

Example 5 A.D = 0.15n B.D = 0.15n + 3 C.D = 3n D.D = 3n 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 A.$5 million B.$3 million C.$4.95 million D.$3.5 million 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.

End of the Lesson