Question

Benjamin is going to drive from his house to City A without stopping. An equation that determines Benjamin's distance from City At hours after leaving his house is D = 260 - 65t. What is the slope of the equation and what is its interpretation in the context of the problem?​

Answer 1

Answer:

Here t is the variable and the equation is a straight line in the form Y= mx + C

rearranging the equation in the form,

D = -65t + 260

considering equation y = mx + C, where x is the variable (here 't'), C is the constant (here 260)

and m is the slope (-65)

So the slope of the equation is -65

since the slope of the graph is a negative value, the graph will be inveres just like in 2nd picture

hope you understood, Just ask for clarification.

thank you