Linear Equation
Linear Equation
| 1. T=2-2(2T-3(1-T))
2. T=2-2(2T-3+3T) 3. T=2-4T+3-6T 4. T=2-10T+6 5. 11T=8 6. T=.73 |
1. Given equation
2. Distribute the 1 & T to the 3 3. Now distribute the 2T, -3, & 3T 4. Add the -4T & -6T 5. Add the 10T to both sides of the equal side 6. Divide the 11 to both sides |
Literal Equation
| 1. M=(Y2-Y1) (X2-X1)
2. (X2-X1)M=Y2-Y1 3. X2-X1=Y2-Y1 M 4. -X1=Y2-Y1-X2 M 5. X=X2-(Y2-Y1) M |
1. Given equation
2. Multiply both sides by (X2-X1) 3. Divide both sides by M 4. Subtract both sides by X2 5. Divide both sides by -1 |
Equation of a line
| 1. With slope =-1/2 through (2,3 )
2. y-y1=m(x-x1) 3. y-3=-1/2(x-2) 4. y-3=-1/2x+1 5. y=-1/2x+4 6. 1/2x+y=4 |
1. Given equation
2. Point slope form 3. Substitute the points for (x1,y1) and slope for m that is point-slope form 4. Distributive property 5. Write in slope-intercept form, y=mx+b 6. Add 1/2x to both sides to get standard form |
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