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1. Check here' for instructional material to complete this problem. Plot the two given points and then sketch the line that contains the two points. Find the run and rise in going from the first point listed to the second point listed. Find the slope of the line. 4,3) and (5,6) Which graph contains the points (4,3) and (5,6)? O A. O B. O C. OD. 10- 19- 19- 10- X 10 10 Find the rise of the line. rise = Find the run of the line. run = Find the slope of the line. Select the correct choice below and fill in any answer boxes within your choice. O A. slope = (Type an integer or a simplified fraction.) O B. The slope is undefined.Fri 1: Instructional Material I The slope of the line is its tilt or steepness. Line with positive slope Line with negative slope Line with slope of O Here are some phrases related to slope that you magir have heard. rise change in y Slope : : _ run change in x Biz3'1 X2""1 The slope of the line m between the points (x131) and (X232) can be given by m 2 Example: Find the slope of the line that contains the points (3, 5) and (6, 9}. We can label the points as (X131) 2 (3, 5} and (X232) 2 [6, 9). Now, we will substitute the given points into the formula for slope Y2'Y1 95 X2X1 63 4 m 3 4 Answer: The slope of the line that passes through the points (3, 5} and (6, Q) is 5. 2. Check here for instructional material to complete this problem. Ski run A declines steadily for 30 yards over a horizontal distance of 200 yards. Ski run B declines steadily for 40 yards over a horizontal distance of 500 yards. Which ski run is steeper? Explain. Warning ! Undefined slope Which ski run is steeper? O Ski run B O Ski run A Explain. Choose the correct answer below. A. Ski run A's ratio of vertical distance to horizontal distance is greater than Ski run B's. O B. Ski run B's ratio of vertical distance to horizontal distance is greater than Ski run A's.2: Instructional Material The slope of the line is its tilt or steepness. Line with positive slope Line with negative slope Line with slope of O Here are some phrases related to slope that you may have heard. use change in y Slope : = . run change In x Y2Y1 The slope of the line m between the points (x131) and (x2,y2} can be given by m = x2 _ x1 . Check here3 for instructional material to complete this problem. Find the approximate slope of the line that contains the points ( 3.8.5.2) and ( 3.42.1). State whether the line is increasing, decreasing, horizontal, or vertical. Select the correct choice below and, if necessary. ll in the answer box to complete your choice. O A- The slope is . (Type an integer or decimal rounded to two decimal places as needed.) 0 B. The slope is undened. Is the line increasing, decreasing, horizontal, or vertical? Vertical Horizontal Increasing OOOO Decreasing 3. Check here for instructional material to complete this problem. Find the approximate slope of the line that contains the points ( - 3.8,5.2) and ( - 3.4,2.1). State whether the line is increasing, decreasing, horizontal, or vertical. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The slope is (Type an integer or decimal rounded to two decimal places as needed.) O B. The slope is undefined. Is the line increasing, decreasing, horizontal, or vertical? O Vertical O Horizontal O Increasing O Decreasing3: Instructional Material The slope of the line is its tilt or steepness. Line with positive slope Line with negative slope Line with slope of O Here are some phrases related to slope that you may have heard. nse change in y Slope : = _ run change In x )'2'3'1 The slope of the line m between the points (3:131) and 0:232} can be given by m = x _ x . 2 1 Example: Find the slope of the line that contains the points {3, 5) and {6, 9). We can label the points as (X131) 2 (3, 5} and (x2,y2} = (6, 9). Now, we will substitute the given points into the formula for slope. Yz'Y1 95 4 _x2x1 63 3 m 4 Answer: The slope of the line that passes through the points (3, 5} and (6, 9) is 5' Check here* for instructional material to complete this problem. An airplane's altitude declines steadily by 21, 125 feet over a 13-minute period. Find the rate of change of the airplane's altitude per minute. The average rate of change is feet per minute. (Round to the nearest integer.) 4: Instructional Material rise change in y The average rate of change is the change in some quantity (the rise) divided by the change in units, usually time (the run). The rate of change can be expressed by slope. The average rate of change = slope = - run change in x Example: A person's salary was $35,000 in 2015 and $60,000 in 2020. Find the average rate of change of the salary per year. $25,000 The change in salary (the rise) was $60,000 - $35,000 = $25,000. The change in time (the run) was 2020 - 2015 =5 years. Therefore, the average rate of change (the slope) was - = $5,000. 5 Answer: The average rate of change was $5,000 per year.Check here for instructional material to complete this problem. The percentage of citizens who have trust in newspapers declined approximately linearly from 31% in 2000 to 26% in 2005. Find the average rate of change per year of the percentage of citizens who have trust in newspapers. The average rate of change per year of the percentage of citizens who have trust in newspapers was (Type an integer or decimal rounded to two decimal places as needed.) 5: Instructional Material rise change in y The average rate of change is the change in some quantity (the rise) divided by the change in units, usually time (the run). The rate of change can be expressed by slope. The average rate of change = slope = run change in x Example: A person's salary was $35,000 in 2015 and $60,000 in 2020. Find the average rate of change of the salary per year. $25,000 The change in salary (the rise) was $60,000 - $35,000 = $25,000. The change in time (the run) was 2020 - 2015 = 5 years. Therefore, the average rate of change (the slope) was 5 = $5,000. Answer: The average rate of change was $5,000 per year