Tutor profile: Jc C.
Can you show me how to solve equations by graphing?
So in the real world, you should rarely need to graph equations by hand. Sadly, your class might make you do it on exams, but no worries, I got your back. The ultimate idea of solving equations by graphing is seeing where the lines intersect. For example, if you and your friend are given maps to find treasure on an island and you guys want to find each-other, determining where you guys would intersect on those maps is vital to your mission. In real mathematics, solving some equations can be more difficult if they aren't linear or basic polynomials (meaning powers greater than 1), but I can show you some easy things to remember to make graphing equations easier.
Can you explain what a derivative is?
In my college career, every professor has said that it is the slope of the line that is tangent to the curve at that point, but that's honestly gibberish if you don't understand it prior. A derivative, in most basic terms, is a rate of change for the line it's talking about. Imagine a roller coaster at the bottom of the track. The track can be seen as the equation you are finding the derivative of, that is the length and location of it. The derivative of the roller coaster track is the speed necessary to start climbing the hill of the roller coaster. This is just one of the many applications of the derivative I can talk about.
Can you explain solving a system of equations?
For a linear set of equations (following y=mx+b format), you can solve it in a multitude of ways. One of those ways is substitution, where you basically move all variables and numbers to one side and single out one variable on the other side. You can then take that resulting equation, and replace the variable you singled out in another equation to solve for that variable. Other ways are a little more complicated, but follow a similar mindset that I can explain in real life situations well.
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