Josh and Anthony are running. They always run together but today Anthony is running late so Josh started without him. Luckily Anthony is a little faster that Josh. Anthony can run 9 miles per hour. Josh can run at 6 miles
per hour and he has a 4.5 mile head start. If the two men plan on running for two hours, will Anthony have time to
catch Josh and run with him for a bit?

Consider the format of a line equation, y = mx + b

The slope is represented as the variable 'm.'

Since we already know that the slope is 2, we can input it into the format.

y = 2x + b

Assuming that the point (14, 33) is a point of intersection, we can input these numbers into the equation in order to find the value of b, or the y-intersect.

33 = 2(14) + b

33 = 28 + b

5 = b

Input that into our equation:

y = 2x + 5