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TechMathI - 3.1 - Lines in space

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Page 1: TechMathI - 3.1 - Lines in space

Bell RingerSimplify each fraction.

1. 4 – 3 -2 – 9

2. -3 + 12 8 – (-2)

3. 7 + -2 15 - 10

Page 2: TechMathI - 3.1 - Lines in space

Definitions

Parallel Lines - lines that never intersect

Perpendicular Lines- lines that intersect to form 90° angles

Skew Lines- Lines that are not in the same plane and do not intersect

Page 3: TechMathI - 3.1 - Lines in space

Identifying Slope and Y - Intercept

y = mx + b

slope y - intercept

Page 4: TechMathI - 3.1 - Lines in space

Identifying Slope and Y - InterceptFind the slope and y – intercept of each.

1.y = 2x + 3

2.y = -3x – 9

3.y = x + ½

4.-y = 2x

Page 5: TechMathI - 3.1 - Lines in space

You try!

Find the slope and y – intercept of each.

1.y = 5x + ¼

2.y = -x + 12

3.y = x - 3

4.-y = x + 9

Page 6: TechMathI - 3.1 - Lines in space

Slope Intercept Form

Solve each equation for y then find m and b.

1.2x + y = 6

2.9 – y = 2x

3.12 + 2y = 8x

4.-3y + 9 = 12x

Page 7: TechMathI - 3.1 - Lines in space

You try 2!

Solve each equation for y then find m and b.

1.2x + y = 6

2.9 – y = 2x

3.12 + 2y = 8x

4.-3y + 9 = 12x

Page 8: TechMathI - 3.1 - Lines in space

Parallel Lines- Two lines are parallel if they have the same slope.

Write an equation of a line parallel that passes through the following point:

1.m = 2, (-1, 4)

Page 9: TechMathI - 3.1 - Lines in space

2. m = ½, (2, -3)

3. m = 1, (0, 6)

Page 10: TechMathI - 3.1 - Lines in space

You try 3!Find a line parallel that passes thru each

point.

1.m = 5, (-2, -8)

2.m = 2.5, (8, 4)

3.m = -3, (3, -4)