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