4.2 Start Thinking. 4.2 Warm Up. 4.2 Cumulative Review Warm Up

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1 . Start Thinking How can ou find a linear equation from a graph for which ou do not know the -intercept? Describe a situation in which ou might know the slope but not the -intercept. Provide a graph of this situation.. Warm Up Write an equation in slope-intercept form with the given slope and -intercept.. m = 3; b = 6. m = 3 ; b = 3. m = ; b =. m = ; b = 5. m = ; b = 5 6. m = ; b = 9. Cumulative Review Warm Up Solve the formula for the indicated variable.. Profit: P = R C; Solve for R.. Volume of a clinder: V = πr h; Solve for r. 3. Area of a trapezoid: A hb ( b) = + ; Solve for h.. Average acceleration of an object: a v t v = 0 ; Solve for t. 0 Algebra Copright Big Ideas Learning, LLC

2 Name Date. Practice A In Eercises 3, write an equation in point-slope form of the line that passes. ( 3, ); m =. (, 7 ); m = 3 3. ( ), 3 ; m = 5 In Eercises and 5, write an equation in slope-intercept form of the line shown.. 5. (, ) ( 3, ) (5, 0) (, ) In Eercises 6, write an equation in slope-intercept form of the line that passes through the given points. 6. ( 6, 3 ), ( 3, 0 ) 7. ( 5, ), ( 5, ). (, 3 ), (, 9) In Eercises 9, write a linear function f with the given values. 9. f() = 3, f( 3) = 0. f( 6) = 9, f( 5) = 0. f( ) f( ) 3 = 5, 3 = 5 In Eercises and 3, tell whether the data in the table can be modeled b a linear equation. Eplain. If possible, write a linear equation that represents as a function of You are renting a paddle board. The compan charges a $50 fee and $0 per half-da. a. Write an equation that represents the total cost (in dollars) of renting a paddle board as a function of the number of half-das. b. Find the total cost of renting a paddle board for 7 half-das. Copright Big Ideas Learning, LLC Algebra

3 Name Date. Practice B In Eercises 3, write an equation in point-slope form of the line that passes. (, 5 ); m =. ( 3, ); m = 3. (, 6 ); m = In Eercises and 5, write an equation in slope-intercept form of the line shown ( 5, 3) (, 0) (6, ) (9, 5) 5 3 In Eercises 6, write an equation in slope-intercept form of the line that passes through the given points. 6. ( 3, 6 ), ( 5, 6) 7. (, ), ( 5, ). ( 7, ), ( 7, ) In Eercises 9, write a linear function f with the given values. 9. f ( 5) =, f( 7) = 0. f( ) =, f ( ) = 7. f( ) f ( ) In Eercises and 3, tell whether the data in the table can be modeled b a linear equation. Eplain. If possible, write a linear equation that represents as a function of. =, 3 = The equation 5 ( ) = + represents the cost (in dollars) of making our own juice (in fluid ounces). a. What is the slope of the line? Interpret the slope in the contet of this situation. b. Write the equation as a linear function. c. Use the linear function in part (b) to determine the base cost of making our own juice. Algebra Copright Big Ideas Learning, LLC

4 Name Date. Enrichment and Etension Challenge: Writing Point-Slope Form Point-slope form of a line is ver applicable in both algebra and geometr. It is ver simple to write point-slope form from a figure or line on a graph, but suppose ou had another form of an equation. How would ou rewrite it in point-slope form? Eample: If = 3, write the point-slope form of the line given (ou must get whole-number coordinates). = 3 ( ) = ( ) = = 5 = 5 Multipl each side b 6. Combine like terms. Because is not divisible b 5, subtract from each side. = 5 0 ( ) = ( ) 5 Factor from the left side of the equation, and factor 5 from the right. 5 ( ) = Divide b. In Eercises, write the linear equation in point-slope form. You must tr to get whole-number coordinates.. = = =. = Copright Big Ideas Learning, LLC Algebra 3

5 Name Date. Puzzle Time What Did The Wall Sa To The Bookcase? Write the letter of each answer in the bo containing the eercise number. Write an equation in point-slope form of the line that passes. ( 5, 6 ), m =. ( 7, 0 ), m = 3. (, ), m =. ( 3, ), m = Write an equation in slope-intercept form of the line that passes through the given points. 5. ( 9, ), (, ) 6. (, 0 ), (, 3 ) 7. (, 5 ), ( 7, 5). ( 6, ), (, 6 ) Write a linear function f with the given values. 9. f() f() 3 = 3, = 0. f() f ( ) 3 = 9, =. f( ) f ( ) 0 =, = 5. f( ) f ( ) = 6, = 6 3. You pa a registration fee and a monthl fee to join a local fitness center. The table shows the total cost of joining the fitness center for different numbers of months. Write an equation that represents the total cost (in dollars) of joining the fitness center as a function of the number of months. 9 Answers L. + = ( + ) H. f( ) = Y. = E. 6 = ( 5) S. = 5 E. = F. = ( + 3) 9 R. f( ) = + 6 H. f ( ) = 0.5 P. f( ) = 5 + U. 0 = ( + 7) O. = 3 3 L. f( ) = 6 Months, Total cost (dollars), f() Algebra Copright Big Ideas Learning, LLC