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= = = = =**Algebra 1**=


 * This wiki will cover what I learned over the second nine weeks of my Algebra 1 class, taught by Dr.Burgess. I was taught things about coordinate planes,**
 * ordered pairs, and the slope of lines.**


 * Coordinate planes are split into 4 quadrants. The first quadrant's ordered pairs are all positive, the second has a negative x but positive y.**
 * The third has a negative x and y, while the fourth has a positive x and negative y. The middle is called the origin (0,0)**




 * Ordered pairs are coordinates on a coordinate plane. They look like (1,5). The left number is your coordinate for the x axis, and the one on the left is the**
 * coordinate for the y axis.**


 * Linear equations are equations that make a line if they are graphed, like y=5x+3. Their are a lot of ways to graph this, but first you need your ordered pairs. You could**
 * use an x/y table, where you would just insert random numbers for x to get y. If x=2, then the equation above would be y=5X2+3, which would make y equal 13. Your ordered pair. would be (2,13).**
 * Then, just do it again with another number to get your second ordered pair,and then you could graph them on the coordinate plane.**


 * Another way to graph is to find the x an y intercept, or where your line crosses the x and y axes. To find the x intercept, make y=0. To find the y intercept, make x=0. So, for the**
 * equation y=5x+5, it would be y=0+5 to find the y intercept, which is (0,5), or just 5. Then, 0=5x+5, you would subtract 5 from both sides, giving you -5=5x. Then, divide both sides**
 * by 5, which would be -1=x. So the x intercept is -1, or (-1,0)**


 * Now for the slope. The slope of the line is how steep it goes uphill or down. First, the long way of finding it. First, you got to have two ordered pairs. Then, the equation is**
 * y-y over x-x.(y-minus-y over x-minus-x) For the pairs (4,2) and (3,1), the equation would be 2-1 over 4-3, giving you 1 over 1. That means your line goes up 1, then over 1 every time. It's also called rise over run.**


 * There is a shortcut to finding slope, finding the y intercept, and graphing it. First, make sure your equation is in slope-intercept form, y=mx+b. The m is the slope, or the number in front of the x. If there is no**
 * number there, just imagine a 1. You must have a number below the x, but if there isn't one, again just imagine a 1.**
 * The b is the y intercept. So y=2x+4, the slope would be 2 over 1 and the y intercept 4. Then, just plot 4 on your plane,because that's the y intercept then go up 2 and over 1.**