Kyle's Algebra 2 Example Problems:

Equations                                                                Explanations

y = mx + b	Get x by itself
y - b = mx	Subtract b from both sides which will move b to the left of the equal sign
y - b = x   m	Divide both sides by m and then you have x by itself

Equations                                                                Explanations

3(x + 2) = -5 - 2(x - 3)	Solving in point-slope form.
3x + 6 = -5 - 2x -6	Distribute the 3 and the -2.
3x + 6 = -5 - 2x -6 -3x + 6 = -5 -3x -6       6 = -5 -5x -6	Subtract 3x from both sides of the equal sign.
6 = -5 -5x +6 5 = 5 -5x +6 11 = -5x +6	Subtract 5 from the negative 5 on the right of the equal sign from both sides.
11 = -5x +6 -6 = -5x -6 5 = -5x	Subtract negative 6 from the positive 6 on the right of the equal sign from both sides.
5 = -5x -5 = -5	Divide negative 5 from both sides of the equal sign.
x = -1	Negative 1 is the answer because negative 5 divides into positive 5 one time.

Equations                                                                Explanations

Coordinates: (3,1) and (5,2)	Find slope
2 - 1 = 1 5 - 3 = 2	Apply rise over run formula(y2 minus y1 over x2 minus x1.
Answer:  y - 1 = 1/2(x - 3)	In order to write an equation in point-slope form you first write y then substitute y1, of one of the two coordinates, equal sign, slope(1/2), parenthesis, x, and finally the x1 from the same coordinates as the y1(also the two coordinates used must have the opposite sign(+, -) as it originally had.

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