techmathi - 3.1 - lines in space day3
TRANSCRIPT
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Bell RingerFind a line perpendicular to each.
1.y = 3x - 1, (-1, -4)
2.y = -2x + 12, (3, -9)
3.m = ½x - 4, (2, 5)
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Example 1:y = -5x + 12y = -2x + 26
Example 2:y = -x - 12y = -3x + 10
Find the intersection of the two lines:
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You try!Example 1:y = 6x + 1y = -4x + 10
Example 2:y = 12x - 6y = -x + 1
Example 3:y = -x - 6y = 2x - 3
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EliminationSolving Systems of Equations
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1. Multiply one or both equations so you have the same number in front of x or y. Look for opposites.
2. Add the two equations.3. Solve for remaining variable.
Example 1:5x – 6y = -323x + 6y = 48
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1. Multiply one or both equations so you have the same number in front of x or y. Look for opposites.
2. Add the two equations.3. Solve for remaining variable.
Example 2:6x – 3y = 3-6x + 5y = 3
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1. Multiply one or both equations so you have the same number in front of x or y. Look for opposites.
2. Add the two equations.3. Solve for remaining variable.
Example 3:2x + 3y = 11-4x + y = -1
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1. Multiply one or both equations so you have the same number in front of x or y. Look for opposites.
2. Add the two equations.3. Solve for remaining variable.
Example 4:4x + 5y = 156x - 4y = 11
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1. 3x + 2y = 6x – 2y = 6
2. 2x + 5y = -2210x + 3y = 22
3. 3x + 2y = -9-10x + 5y = -5
You try!