When finding the equation of a line you take two points and find the slope. For example, if the points are (2,1) and (4,5) you would use the equation y2-y1 divided by x2-x1. so the the equation would look like this 5-1/4-2 which equals 4/2. This would simplify to just 2, therefore the slope of this line is 2. The next step is putting this into point slope form. This looks like y-y1=m(x-x1). So when plugging the numbers in it would look like this y-1=2(x-2). After distributing the equation would look like y-1=2x-4. Then I add 1 too both sides and I get y=2x-3.
Elimination: 3x-7y=-14 6x-14y=-28
5x+2y=45 +35x14y=315 2(3x7y=-14)= 6x-14y=-28 = 41x=287 7(5x+2y=45)= 35x+14y=315 x=7 Now I have to put the x into either of the equations and solve for y. 5(7)+2y=45 35+2y=45 35+2y=45 -35 -35 2y=10 y=5 Substitution: 2x+y=5 x-y=1 Move the 2x to the other side= y=5-2x Then plug y into the second equation. x-(5-2)=1 1. It moves up on the y axis.
2. It moves down on the y axis. 3. It moves left on the x axis. 4. It moves right on the x axis. 5. It reflects on the x axis. |
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March 2015
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