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Name: _________________________________________ Hour: ___________ Algebra 1 Review Equations of Linear Functions Write the correct response on the line. _____ 1. Identify the slope and y-intercept of the graph of the equation 4x -6y = 5 . a. m = - 2 3 and b = 5 c. m = 6 and b = b. m = 2 and b = 5 5 d. m = 6 _____ 2. Match the function with its graph. f(x) = a. b. c. d. 1 2 2 3 and b = - 5 6 x-3 _____ 3. Write an equation in point-slope form of the line that passes through the given points. (5,6) and (1,7) a. y + 6 = 6(x – 5) 1 b. y – 6 = 6 (x – 1) 1 c. y – 6 = 6 (x – 5) d. y 6 4( x 5) _____ 4. Solve the equation. Round to the nearest hundredth. 2.65x + 1.23 = 4.95 – 1.19x a. x = 2.26 b. x = .969 c. x = - 2.26 d. x = - 6.69 _____ 5. From the scatterplot below, which of these could be a line of best fit? a. b. c. d. y x 100 y x 100 x 100 y 100 _____ 6. When Julie was asked to graph the two functions below, she was surprised to discover that the two equations generated the same line. 𝑥 2 𝑦 – 7 =1 7 y=2x–7 a) Do you agree with Julie? __________ b) Compare the functions. Describe why they are different representations of the same line. Include slope and intercepts in your discussion. _________________________________________________________________ _________________________________________________________________ 7. Write an equation of the line that is parallel to the line y = - 3x + 5 and passes through the point (- 1, - 2). Equation: _____________________ 8. Write an equation in slope-intercept for of the line that passes through the points, (0, 5) and (2, 6). Equation: _____________________ 9. The table below shows the average number of gallons of milk a family drinks per week. Sketch a scatter plot for this data Find an equation that best represents the data Use the equation to find the milk consumption in one week of 7-member family. Family Size 1 2 3 4 5 6 Number of Gallons of Milk 1 1.3 2.4 3.6 4.2 5 Equation: ____________________ Milk Consumption: _____________ 10. Write the equation in point-slope form of the line that passes through the given points. (2,-1) and (-5,7) Equation: ____________________ 11. Write an equation of a line that is perpendicular to y = -2x + 4 and passes through the point (2,5). Equation: ____________________ 12. Write the equation in slope-intercept form then graph. Then classify the line by its slope. 3y + 9x = 12 Equation: ____________________ Classification: ________________