Mouse over each row of the table to see the change in x and the change in y. Use that information to calculate the slope of the function. Remember, slope is the ratio of the change in y to the change in x.

What is the slope of the linear function representing the relationship between the amount of time since leaving the Williams family's relatives' house, x, and the number of miles remaining, y, until the Williams family is back home?

Remember, slope can be found using the following formula:

Check Your Answer

You can use any one of the following pairs of numbers in the table to calculate the slope.

Slope = change in y over change in x Change in y Change in x = 340 miles – 170 miles over 4 hours – 2 hours 300 miles – 325 miles 1 hour – 0.5 hours = 170 miles over 2 hours - 25 miles 0.5 hours = - 50 miles per hour

Slope = change in y over change in x Change in y Change in x = 340 miles – 170 miles over 4 hours – 2 hours 275 miles – 300 miles 1½ hours – 1 hour = 170 miles over 2 hours - 25 miles ½ hour = - 50 miles per hour

Slope = change in y over change in x Change in y Change in x = 340 miles – 170 miles over 4 hours – 2 hours 225 miles – 275 miles 2.5 hours – 1½ hours = 170 miles over 2 hours - 50 miles 1 hour = - 50 miles per hour

Slope = change in y over change in x Change in y Change in x = 340 miles – 170 miles over 4 hours – 2 hours 150 miles – 225 miles 4 hours – 2.5 hours = 170 miles over 2 hours - 75 miles 1.5 hours = - 50 miles per hour