1. Graph y = 2x 3. SOLUTION: The slope-intercept form of a line is y = mx + b, where m is the slope, and b is the y-intercept.
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1 1. Graph y = 2x 3. The slope-intercept form of a line is y = mx + b, where m is the slope, and b is the y-intercept. Plot the y-intercept (0, 3). The slope is. From (0, 3), move up 2 units and right 1 unit. Plot the point. Draw a line through the two points. 2. MULTIPLE CHOICE A popular pizza parlor charges $12 for a large cheese pizza plus $1.50 for each additional topping. Write an equation in slope-intercept form for the total cost C of a pizza with t toppings. A C = 12t B C = 13.50t C C = t D C = 1.50t 12 The cost of the additional products is the rate or the slope, so you can eliminate choices A and B. The price of the large pizza is a constant at $12. Choice D, subtracts 12 from each order, so you can eliminate this choice. The equation is C = t, so the correct choice is C. esolutions Manual - Powered by Cognero Page 1
2 Write an equation of a line in slope-intercept form that passes through the given point and has the given slope. 3. ( 4, 2); slope 3 Find the y-intercept. 4. (3, 5); slope Find the y-intercept. esolutions Manual - Powered by Cognero Page 2
3 Write an equation of the line in slope-intercept form that passes through the given points. 5. (1, 4), (3, 10) Find the slope of the line containing the given points. Use the slope and either of the two points to find the y-intercept. esolutions Manual - Powered by Cognero Page 3
4 6. (2, 5), ( 2, 8) Find the slope of the line containing the given points. Use the slope and either of the two points to find the y-intercept. esolutions Manual - Powered by Cognero Page 4
5 7. (0, 4), ( 3, 0) Find the slope of the line containing the given points. Use the slope and either of the two points to find the y-intercept. esolutions Manual - Powered by Cognero Page 5
6 8. (7, 1), (9, 4) Find the slope of the line containing the given points. Use the slope and either of the two points to find the y-intercept. esolutions Manual - Powered by Cognero Page 6
7 9. PAINTING The data in the table show the size of a room in square feet and the time it takes to paint the room in minutes. a. Use the points (100, 160) and (500, 680) to write an equation in slope-intercept form. b. Predict the amount of time required to paint a room measuring 750 square feet. a. Find the slope of the line containing the given points. Use the slope and either of the two points to find the y-intercept. b. Substitute 750 for x into the equation from part a. So it will take 1005 minutes to paint a room that measures 750 square feet. esolutions Manual - Powered by Cognero Page 7
8 10. SALARY The table shows the relationship between years of experience and teacher salary. a. Write an equation for the best-fit line. b. Find the correlation coefficient and explain what it tells us about the relationship between experience and teacher salary. a. Use a calculator to find the equation of the regression line. y = 1.89x b. Use a calculator to find the correlation coefficient. It is This means that there is a strong positive correlation between years of experience and salary. Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation. 11. (2, 3), y = 4x 9 The slope of the line with equation y = 4x 11 is 4. The line parallel to y = 4x 11 has the same slope, 4. Find the y-intercept. esolutions Manual - Powered by Cognero Page 8
9 12. ( 5, 1), y = 3x + 2 The slope of the line with equation y = 3x + 2 is 3. The line parallel to y = 3x + 2 has the same slope, 3. Find the y-intercept. Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the equation. 13. (1, 4), y = 2x + 5 The slope of the line with equation y = 2x + 5 is 2. The slope of the perpendicular line is the opposite reciprocal of 2, or. Find the y-intercept. esolutions Manual - Powered by Cognero Page 9
10 14. ( 3, 6), y = x + 2 The slope of the line with equation y = is. The slope of the perpendicular line is the opposite reciprocal of, or 4. Find the y-intercept. 15. MULTIPLE CHOICE The graph shows the relationship between outside temperature and daily ice cream cone sales. What type of correlation is shown? F positive correlation G negative correlation H no correlation J not enough information As the temperature gets larger, the number of ice cream cones sold also gets larger. This shows that there is a positive correlation, so the correct choice is F. esolutions Manual - Powered by Cognero Page 10
11 16. ADOPTION The table shows the number of children from Russia adopted by U.S. citizens. a. Write the slope-intercept form of the equation for the line of fit. b. Predict the number of children from Russia who will be adopted in a.use a calculator to find the equation of the regression line. y = 466.3x b. There will be about about 9679 children adopted from Ethiopia in esolutions Manual - Powered by Cognero Page 11
12 Find the inverse of each function. 17. Write the final equation in slope-intercept form. So, f -1 (x) = x Write the final equation in slope-intercept form. So, f -1 (x) =. 19. Write the final equation in slope-intercept form. So, f --1 (x) = 6x esolutions Manual - Powered by Cognero Page 12
13 20. Write the final equation in slope-intercept form. So, f --1 (x) = x 16. esolutions Manual - Powered by Cognero Page 13
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