Linear Equations

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Linear Equations by Mind Map: Linear Equations

1. Slope

1.1. Rise over run

1.2. y2-y1 over x2-x1

1.3. change in y over change in x

2. Slope intercept form

2.1. Y=mx+b

2.2. m=slope

2.2.1. b=y intercept

3. Standard form

3.1. Ax+By=C

3.2. A and B are coefficients

3.3. C is constant

4. Graphing Linear Equations

4.1. Graph y=m+b

4.1.1. graph the y intercept (b)

4.1.1.1. then do rise over run

4.2. Graph standard form

4.2.1. Ex- 4x+5y=20

4.2.1.1. plug in 0 for y to find out the x-intercept

4.2.1.1.1. then solve. x =5

4.2.2. plug in 0 for x to find out the y intercept

4.2.2.1. then solve. y=4

4.2.2.1.1. plot (0,4) on the graph

5. Vertical lines

5.1. have the same slope

5.2. points will have the same x value

5.3. equation of vertical line is x=b

5.4. go up and down

6. Horizonatal lines

6.1. go left and right

6.2. have the same y value

6.3. has slope of 0

6.4. parallel to the x coordinate

6.5. equation of the line is y=b