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Negative Linear Relationships B.) Negative Linear Relationships­Traveling! Let's pretend that your parents are driving on • average 65 mph on a highway route to Orlando, Florida. If the distance you are traveling is 1,000 miles, you can write a linear equation to help answer the question every parent dreads: 1.) Variables time (hours) ♦ Independent variable (x): ___________________ distance remaining ♦ Dependent variable (y): _____________________ 65 a.) Defining slope­For every 1 increase in x, y decreases by ____. (slope) 65 distance remaining hours For every 1 _________________, ________________ decreases by _____. miles Independent variable Dependent variable (slope) Negative Linear Relationships b.) Complete the table for the relationship where distance remaining for trip depends on how many hours your parents have been driving! 1000 935 870 805 Distance Remaining y-intercept (Value of y when x = 0) (also called the constant) 1200 1000 800 600 400 200 5 10 Time (hours) 15 740 Negative Linear Relationships d.) Equation for “How much longer?” : y = mx + b m = slope, b = y­intercept y = ­65x + 1000 D = ­65h + 1000