TechMathI - 3.1 - Lines in Space Day3

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)

Example 1:y = -5x + 12y = -2x + 26

Example 2:y = -x - 12y = -3x + 10

Find the intersection of the two lines:

You try!Example 1:y = 6x + 1y = -4x + 10

Example 2:y = 12x - 6y = -x + 1

Example 3:y = -x - 6y = 2x - 3

EliminationSolving Systems of Equations

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

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

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

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

1. 3x + 2y = 6x – 2y = 6

2. 2x + 5y = -2210x + 3y = 22

3. 3x + 2y = -9-10x + 5y = -5

You try!