techmathi - 3.1 - lines in space
TRANSCRIPT
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Bell RingerSimplify each fraction.
1. 4 – 3 -2 – 9
2. -3 + 12 8 – (-2)
3. 7 + -2 15 - 10
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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
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Identifying Slope and Y - Intercept
y = mx + b
slope y - intercept
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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
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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
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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
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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
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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)
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2. m = ½, (2, -3)
3. m = 1, (0, 6)
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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)