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Example#1: Find the slope of the line perpendicular to the line passing through (11,-7) and (7,-2).

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Example#1: Find the slope of the line perpendicular to the line passing through (11,-7) and (7,-2).

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m=-2+7=5/7-11=-4
5/-4= 5/-4
Answer: m=+4/5

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3y+53=7y-55
53=4y-55
108=4y
Answer: y=27 Relationship: AEA

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Example#2: Use the figure below to solve for x, given a ll b. Name the special relationship, if one exists, between the shown angles.

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Example#2: Use the figure below to solve for x, given a ll b. Name the special relationship, if one exists, between the shown angles.

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2x+43+2x-3=180
4x+40=180
4x=140
Answer: x=35  Relationship: SIA

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Example#3: Use the figure below to solve for x, given a ll b. Name the special relationship, if one exists, between the shown angles.

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Example#3: Use the figure below to solve for x, given a ll b. Name the special relationship, if one exists, between the shown angles.

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A line parallel to the x-axis.

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A vertical line is the one that goes straight up and down, parallel to the y-axis of the coordinate plane. It has no slope.

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The slope of perpendicular lines are the opposite reciprocals of each other, and a pair of these lines intersects at 90 degrees.

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Parallel lines have the same slope and will never intersect.

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The slope of a line is a number that measures its "steepness", usually denoted by the letter m.

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The angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

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The pairs of angles on one side of the transversal but inside the two lines.

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A line intersecting a system of other lines.

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The pairs of angles on opposite sides of the transversal but outside the two lines.

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Are nonadjacent interior angles that lie on opposite sides of the transversal.

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Are coplanar lines that do not intersect.