There are three main ways that you can write  an equation. Those are general form, point slope, and slope Y intercept.

General Form

General Form tells you nothing about the equation and is known as pretty useless. General form will always equal zero and the first coefficient will always be positive or it is incorrect. There can also not be any fractions in the equation or it is also in correct. Fir example 2x-y+5=0 is an example of general form because it has no fractions, it equals zero, and the first coefficient is positive. The equation -2x-y+4=-1 is not general form because the first coefficient is a negative and it does not equal zero. To make it general form you will need to move everything to the other side making the equation 0=2x+y-5.

Slope Y intercept

Slope Y intercept is the equation y=mx+b. In this equation it tells you the slope and the y intercept. The mx is the slope and the b is the y intercept. This means that you will be able to graph a line using this formula. For example if the equation is y=2x+2 you know that the y intercept is two so you start at 2 and go up 2 and one to the right because it is positive.

Point slope

Point slope is the equation m(x-x)=y-y. You use this formula when you are given coordinates and need to put them into an equation. For example if you are given the coordinates (3,1) and (6,2) we can make an equation. The equation would be 3(x-3)=y-1. This is the equation because we known the slope is 3 because of the difference in the coordinates and the slope will go in front of the brackets. You then insert the x and y coordinates into the equation making it -3  and -1 because a positive and a negative = a negative.

Slope

Slope is the line that shows how steep it is. The line decreasing or increasing means if it  is positive or negative. You can find this using y= mx+ b. The M will be the slope so you use the rise and run formula. The y axis is on the top while the X axis is on the bottom. In this example you rise up three and then go to the right 4 making the slope 3/4.

Angle of depression: The angle when someone is looking down

Angle of Evolution: The angle when someone is looking up

The angle looking down toward the ground is the angle of depression while the angle of evolution is the opposite. The angle of evolution is the angle when someone is looking up or in this case it is angle Y.

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