Tutor profile: Harrison R.
What's the easiest way to think about/remember the midpoint formula?
How would you find the middle number between 60 and 100? You can add them together and divide by 2 (get the average). You are doing the same exact thing for the midpoint formula, just split up between your x and y values. Essentially, you just have to find the average of your x values, and the average of your y values, and those averages are your x and y values for your midpoint!
What is the slope of a line? What does it mean and how to do I identify the slope?
I like to think of the slope as the "steepness" of your line. The higher the slope, the steeper your line will look! A positive slope will look like it's going up (as you move to the right), and a negative slope will look like it's going down. In an equation with the form y=mx+b, m represents the slope. You can easily identify the slope because it's always the number attached to your x, or x's coefficient. So, even with 2 equations that may look different like: y = 3x - 7 and y = -7 + 3x, you can identify the slope as 3 because that is the number attached to your x in both cases.
How do I know what operation to do first in a two step equation like 4x - 12 = 36?
First you must know order of operations (PEMDAS) and then you are going to do those, but in reverse! You are "undoing" what is done to the x to get x by itself. So, going off of reverse PEMDAS, you would need to "undo" the subtraction by adding (the opposite of subtracting) 12 to both sides of the equation first. Once the 12's cancel out on the right side and you're left with 48 on the right, you can deal with the 4.
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