Unit 3 Algebra What is the y-intercept for the graph of the equation 3x 5y = 15?
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1 Unit 3 lgebra 1 Name: ate: 1. The equation below is used to find (x, y) coordinates. y = 3x ennie is using this pattern to make stars for an laska state flag. Which coordinates could be found using the equation above? Which statement is true?. ll vertical lines have a slope of zero.. ll vertical lines have a positive slope.. ll vertical lines have a negative slope.. ll vertical lines have an undefined slope. What is the slope of line segment in ennie s pattern? What is the y-intercept for the graph of the equation 3x 5y = 15? page 1
2 5. Which of these lines has a slope of 3? Three linear equations are shown below. y 1 = 2x 5 y 2 = 1 2 x 5 y 3 = 3x 5 Which statement about the three linear equations is incorrect? 8. What are the y-intercept and the slope of the graph of the following equation? 2x + 4y = 8. y-intercept: 8 slope: 2. y-intercept: 8 slope: 2. ll three equations have the same slope.. Equations y 1 and y 2 have negative slopes.. ll three equations have the same y-intercept.. Equations y 2 and y 3 have the same y-intercept.. y-intercept: 2 slope: 1 2. y-intercept: 2 slope: etermine the slope m, x-intercept, and y-intertept of the equation 5x 2y = 10.. slope m = 5 2 x-intercept = (2, 0) y-intercept = (0, 5). slope m = 5 2 x-intercept = (2, 0) y-intercept = (0, 5). slope m = 2 5 x-intercept = ( 5, 0) y-intercept = (0, 2). slope m = 2 5 x-intercept = ( 5, 0) y-intercept = (0, 2) page 2 Unit 3 lgebra 1
3 9. What are the y-intercept and the slope of the graph below? 11. Which statement is true about the slope of line?. y-intercept: 3 slope: 2 3. y-intercept: 3 slope: 3 2. y-intercept: -3 slope: 3 2. y-intercept: -3 slope: What is the slope of this line?. The slope is the ratio of the x- and y-intercepts.. The slope is the same between any two points on the line.. The slope between point and point is greater than the slope between point and point.. The slope between point and point is greater than the slope between point and point. 12. Which point lies on the line defined by 3x + 6y = 2?. (0, 2). (0, 6). ( 1, 1 6 ). ( 1, 1 3 ) 13. The equation of line l is 6x + 5y = 3, and the equation of line q is 5x 6y = 0. Which statement about the two lines is true?. Lines l and q have the same y-intercept.. Lines l and q are parallel.. Lines l and q have the same x-intercept.. Lines l and q are perpendicular page 3 Unit 3 lgebra 1
4 14. The graph of a line is shown on the coordinate grid below. 16. Which of the following graphs shows a constant rate of change?.. Which of the following best represents the slope of the line? Use the graph to answer the question... Which statement is true about the lines on the graph?. They have the same slope and the same y-intercept.. They have the same slope but different y-intercepts.. They have different slopes but the same y-intercept.. They have different slopes and different y-intercepts. page 4 Unit 3 lgebra 1
5 17. s x increases, which of the following graphs best represents a positive rate of change for y?.... page 5 Unit 3 lgebra 1
6 18. The graph below shows a relationship between values of x and y. 20. Which graph contains the points given in the table below? x y s the value of x increases from 0 to 1, what is the change in the value of y?. The value of y increases by 3.. The value of y decreases by 3... The value of y increases by fraction: one third The value of y decreases by fraction: one third The table below shows a linear relationship between x and y. x y s the value of x increases by 1, what happens to the value of y?. The value of y increases by 3.. The value of y increases by 4.. The value of y increases by 5.. The value of y increases by 6. page 6 Unit 3 lgebra 1
7 21. The coordinate grid below shows the graphs of two lines: line l and line m. 24. What is the apparent x-intercept of the line graphed below? Which of the following is a true statement about the relationship between line l and line m?. The slope of line l is greater than the slope of line m.. The x-intercept of line m is greater than the x-intercept of line l.. The y-intercept of line m is greater than the y-intercept of line l.. The slope of line m is greater than the slope of line l Which of the following describes the slope of a horizontal line on the coordinate plane?. zero. positive. negative. undefined 26. Which of the following best represents the slope and y-intercept of the line on the coordinate grid below? 22. What is the slope of the line represented by the table of values below? x y What is the slope of the line defined by the equation shown below? 5x + 2y = slope = 1 2 ; y-intercept = 2. slope = 2 1 ; y-intercept = 2. slope = 1 2 ; y-intercept = 4. slope = 2 1 ; y-intercept = 4 page 7 Unit 3 lgebra 1
8 27. Which of the following is true about a line with undefined slope?. It is a vertical line.. It is a horizontal line. 30. In which of the following graphs does line h best represent a line with an undefined slope?.. It slopes upward from left to right.. It slopes downward from left to right. 28. What is the slope of the line represented by the equation below? y 5 = 3x What is the slope of the line represented by the equation below? 3x + 2y = Four line segments are shown on the coordinate grid below. Which of the line segments has a slope of 0?. PQ. QR. RS. ST page 8 Unit 3 lgebra 1
9 32. What is the x-intercept of the line represented by the equation below? 35. Look at the graph below. 3x + 6y = Six points are plotted on the coordinate grid below. Which line on the graph has a slope of 5 3?. l 1. l 2. l 3. l Which point is a solution of the equation below? y = 3x 2 Which two points lie on a line with a slope closest to zero?. N and J. N and K. P and L. P and Q 34. Which table shows a decreasing linear relationship?. x y. x y (4, 14). ( 1, 1). (0, 2). (2, 0) 37. Webster found this equation and table in his algebra book: y = 2x + 3 x y What are the y-intercept and slope of the line represented by this data?. x y x y y-intercept = 0; slope = 2. y-intercept = 3; slope = 1. y-intercept = 2; slope = 3. y-intercept = 3; slope = What is true about the slope and y-intercept of the two equations below? 4x + 3y = 12 8x + 6y = 6. same slope, same y-intercept. same slope, different y-intercept. different slope, same y-intercept. different slope, different y-intercept page 9 Unit 3 lgebra 1
10 39. Grace says that the graph of the following function table will be a vertical line. 41. The graph of a linear equation is shown below. x y Is Grace correct?. No, because the line will be horizontal.. No, because the line does not go through the origin.. Yes, because the line goes through the y-axis.. Yes, because all of the values of y are the same. 40. Look at the completed function table below. Which of the following represents the slope, m, the y-intercept, b, and the x-intercept for the graph of the linear equation? x 8 6 y Which set of characteristics describes the graph of the line made by using the values in the function table?. m = 2 b = 2 x-intercept = 1. m = 2 b = 2 x-intercept = 1. m = 2 b = 2 x-intercept = 1. m = 2 b = 2 x-intercept = 1. slope of 3 2. slope of 3 2 and a y-intercept of 4 and a y-intercept of 6. slope of 3 2. slope of 3 2 and a y-intercept of 4 and a y-intercept of 6 page 10 Unit 3 lgebra 1
11 42. Which best represents the graph of x = 3? 43. Ted bought an antenna that is 12 feet high. He placed the antenna next to his house and attached a support wire as shown... What is the slope of the support wire? How does the graph of y = x 5 compare to the graph of y = 4 3 x + 1?... The graph of y = x 5 is steeper and intersects the x-axis at 5.. The graph of y = x 5 is steeper and intersects the y-axis at 5.. The graph of y = 4 3 x + 1 is steeper and intersects the x-axis at 1.. The graph of y = 4 3 x + 1 is steeper and intersects the y-axis at Which of the following linear equations, when graphed on the same coordinate grid, is closest to being horizontal?. y = 8 3 x. y = 1 2 x. y = x. y = 2x page 11 Unit 3 lgebra 1
12 46. The graph below shows the distance en skied during a 50-minute practice. 48. This graph shows the relationship between the altitude of an airplane and the distance it travels while it is descending. How does en s speed during the last 20 minutes of the practice compare with his speed during the first 30 minutes? Explain your answer. 47. This table shows the cost of renting a kayak. Hours ost 1 $13 2 $21 3 $29 4 $37 5 $45 The cost of renting a kayak is represented by the equation y = 8x + 5, where x represents the number of hours. What does the slope of the equation represent?. the total cost for the rental. the cost of renting a kayak for 5 hours. the cost of renting a kayak for 8 hours. the cost increase for each hour of rental Which statement describes the slope of this line?. The altitude decreases by 500 feet every mile.. The altitude decreases by 1000 feet every mile.. The altitude decreases by 1 foot every 500 miles.. The altitude decreases by 1 foot every 1000 miles. 49. The table below shows the relationship between x and f (x) for the linear function f (x). What is the slope of f (x)? x f (x) page 12 Unit 3 lgebra 1
13 50. The lines graphed on the coordinate plane below intersect to form polygon PRSTV. 53. Use the equations below to answer the following question. y = 2 3 x 9 y = 2 3 x + 3 The equations describe. parallel lines.. the same line.. perpendicular lines.. intersecting, not perpendicular lines. 54. Use this graph to answer the question. Which side of polygon PRSTV is on a line with a slope of 3?. PR. ST. TV. VP 51. Zane was given the equation 2x 5 = y and wondered what the graph of this equation would look like. Which of the following best describes the graph?. line that rises from left to right. vertical line. line that falls from left to right. horizontal line 52. Which pair of equations represents lines that are parallel and perpendicular, respectively, to the graph of y = 3 4 x + 4? s y increases from 6 to 6, how does x change?. It increases by 2.. It increases by 4.. It decreases by 2.. It decreases by 4.. y = 3 4 x + 3 and y = 3 4 x + 5. y = 3 4 x + 6 and y = 4 3 x + 2. y = 4 3 x + 5 and y = 3 4 x + 4. y = 4 3 x + 8 and y = 4 3 x + 1 page 13 Unit 3 lgebra 1
14 Problem-ttic format version c Educide Software Licensed for use by arbara Kirkpatrick Terms of Use at Unit 3 lgebra 1 10/22/
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