Homework Corrections (Page 1 of 5) A #23 / Holt 5-4 #11 – 21, 26, 34; Holt Chapter 5 Ready to Go On? #1 – 10 Holt 5-4 11. -4 12. 0 13. undefined 14. 15. 16. The slope is and represents that for every 5°C temperature increases, it increases 9°F. 17. The slope is and represents that the boiling point is decreasing 9°F for each 5000-ft increase above sea level.

Homework Corrections (Page 2 of 5) A #23 / Holt 5-4 #11 – 21, 26, 34; Holt Chapter 5 Ready to Go On? #1 – 10 Holt 5-4 cont. 18. 19. 20. -3 21. Student B 26. D 34. x = -5 Ch. 5 RTGO? 1. no 2. yes

Homework Corrections (Page 3 of 5) A #23 / Holt 5-4 #11 – 21, 26, 34; Holt Chapter 5 Ready to Go On? #1 – 10 Ch. 5 RTGO? cont. 3. The x-intercept is 20 and represents the time when there will be no water left in the pool. The y-intercept is 120 and represents the original amount of water in the pool.

Homework Corrections (Page 4 of 5) A #23 / Holt 5-4 #11 – 21, 26, 34; Holt Chapter 5 Ready to Go On? #1 – 10 Ch. 5 RTGO? cont. 4. 5. 6. 7.

Homework Corrections (Page 5 of 5) A #23 / Holt 5-4 #11 – 21, 26, 34; Holt Chapter 5 Ready to Go On? #1 – 10 Ch. 5 RTGO? cont. 8. The slope is 3.5, which means that peppers cost $3.50 per pound. 9. The slope is 4, which represents that the car’s speed is 4 feet per second. 10. The slope is -6, which means that the temperature decreases 6°F for each mile gained in altitude.

Lesson Objectives: I will be able to … Write a linear equation in slope-intercept form Graph a line using slope-intercept form Language Objective: I will be able to … Read, write, and listen about vocabulary, key concepts, and examples

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Example 1: Graphing by Using Slope and y-intercept Page 21 Graph the line given the slope and y-intercept. y intercept = 4 y • Rise = –2 • Step 1 The y-intercept is 4, so the line contains (0, 4). Plot (0, 4). • • Step 2 Slope = Count 2 units down and 5 units right from (0, 4) and plot another point. Run = 5 Step 3 Draw the line through the two points.

Graph the line given the slope and y-intercept. Your Turn 1 Page 21 Graph the line given the slope and y-intercept. slope = , y-intercept = 1 Step 1 The y-intercept is 1, so the line contains (0, 1). Plot (0, 1). Rise = –2 • Step 2 Slope = Count 2 units down and 3 units right from (0, 1) and plot another point. • Run = 3 Step 3 Draw the line through the two points.

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Example 2: Writing linear Equations in Slope-Intercept Form Page 22 Write the equation that describes the line in slope-intercept form. slope = ; y-intercept = –6 y = mx + b Substitute the given values for m and b.

Write the equation that describes the line in slope-intercept form. Page 22 Your Turn 2 Write the equation that describes the line in slope-intercept form. slope = 3; y-intercept = y = mx + b Substitute the given values for m and b.

Example 3: Writing linear Equations in Slope-Intercept Form Page 22 Write the equation that describes the line in slope-intercept form. slope = 2; (3, 4) is on the line Step 1 Find the y-intercept. Step 2 Write the equation. y = mx + b y = mx + b 4 = 2(3) + b y = 2x + (–2) 4 = 6 + b y = 2x – 2 –6 –6 –2 = b

Example 4: Using Slope-Intercept Form to Graph Page 23 Write the equation 2y + 3x = 6 in slope-intercept form. Then graph the line described by the equation. Step 1 Write the equation in slope-intercept form by solving for y. Step 2 Graph the line. m = slope: y-intercept: b = 3 2y + 3x = 6 Plot (0, 3). –3x –3x 2y = –3x + 6 • Count 3 units down and 2 units right and plot another point. • • • Draw the line connecting the two points.

Classwork Assignment #24 1. Sketch a graph that is: a) a linear function b) linear, but not a function c) a function, but not linear 2. Find the x- and y-intercepts of 4x – 2y = 8 and use them to make a graph. 3. Find the slope of the line containing the points (9, -2) and (5, -4). 4. Using the graph at right, find the slope of the line and explain what it represents. Use for #4.

Classwork Chapter 5 Quiz

Homework Assignment #24 Holt 5-6 #15 – 22, 27 – 38 KIN 5-7