Question

trying to solve a point a slope word problem.

you are scheduled to start your job at an oil change shop 2 hours after shop opens. two hours after you start, a total of 11 cars have had their oil changed. three hours later, a total of 14 cars have had their oil changed. At what rate are cars getting their oil changed since you started working? How many cars had theri oil changed before you started work?

would I set up as 14-11/3-2=changes?

Answer 1

It is not clear to me what you mean by
"Three hours later"
Is it three hours after he started working or is it five hours after you start
According to the work you show, you assumed it is 3 hours after you start.

Once you have established that, yes, take the slope
then find the equation, just like you would for 2 points on a straight line. Finally find the "y-intercept", when t = 0