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Name:Period:Algebra I - Chapter 4 ReviewWrite an equation in slope-intercept form of the line that has the given slope and yintercept.1. slope: –2; y-intercept: 0Write an equation in slope-intercept form of the line that passes through the givenpoint and has the given slope m.2.(2, –3); m 33.(–1, 0); m 2Write an equation in slope-intercept form of the line shown.4.Write an equation in standard form of the line that passes through the given pointand has the given slope m or that passes through the given points.!5. (–4, 3), m !6. (–2, –1), (2, –6)
Graph the equation.27. y – 2 (x – 4)3Write an equation in slope-intercept form for a linear function f that has the givenvalues.8. f(–3) 2 and f(1) 09. Write an equation of the line in slope-intercept form that passes through the1point (4, 7) and is (a) parallel to and (b) perpendicular to the line y x – 1.2In Exercises 10-13, use the table that shows the number of calories in grams of fat.Fat (g)31391934433935Calories58068041059066064057010. Make a scatter plot of the data.
11. Describe the correlation.The correlation is positive and shows that the more grams of fat in foodthe more calories that it contains.12. Draw a line of fit for the data.13. Use the line of fit from Exercise 12 to predict the number of calories in ahamburger that contains 28 grams of fat.By using the scatter plot in number 10, I would predict that the number ofcalories in a hamburger with 28 g of fat would be about 525 calories.Find the missing coefficient in the equation of the line that passes through the givenpoint.14. Ax y 3; (2, –5)Find the value of k so that the three points lie on the same line. Write the equation ofthe line in point-slope form.15. (1, –2), (–2, 4), (4, k)Write an equation in the given form of the line shown.16. Standard form
17. Slope-intercept form18. The freezing point of water is 0 C or 32 F. The boiling point of water is 100 C or212 F. Develop the formula that relates the number of degrees in Fahrenheit tothe number of degrees in Celsius.In Exercises 19-23, use the graph that shows gymmembership costs.19. How much was the initial membership fee?The initial membership fee appears to beabout 30.20. What is the cost per month?The cost per month is 35.21. Write an equation in slope-intercept form that relates the total cost (in dollars) tothe number of months of the gym membership.22. Find the cost of a gym membership for one year.The cost of a gymmembership for one year isabout 450.
In problems 23 & 24, find the zero of the function.23. f(x) x – 824. f(x) 3x 9
Algebra I - Chapter 4 Review Write an equation in slope-intercept form of the line that has the given slope and y-intercept. 1. slope: -2; y-intercept: 0 Write an equation in slope-intercept form of the line that passes through the given point and has the given slope m. 2. (2, -3); m 3 3. (-1, 0); m 2
