January 17, 2014
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Transcript of January 17, 2014
17
Today:No Warm-Up: Final Exam
Wed.Review Parallel/Perp.
LinesComplete 4-4Class Work:
Six Question Review of Coordinate Unit
Parallel lines have the same slopes so find the slope of the given line and the slope you want for a parallel line will be the same.
Perpendicular lines have negative reciprocal slopes. take the slope of the given line, switch the numerator and denominator and change the sign for the slope of its perpendicular line.
3
1m
3
1m
3
1m
31
3m
Parallel & Perpendicular Lines:
Practice Problems:
EXAMPLE 2 Determine whether lines are parallel or perpendicular
Determine which lines, if any, are parallel or perpendicular.
Line a: y = 5x – 3
Line b: x + 5y = 2
Line c: –10y – 2x = 0
SOLUTION
Find the slopes of the lines.
Line a: The equation is in slope-intercept form. The slope is 5.
Write the equations for lines b and c in slope-intercept form.
EXAMPLE 2
Line b: x + 5y = 2
5y = – x + 2
Line c: –10y – 2x = 0
–10y = 2x
y = – x15
Determine whether lines are parallel or perpendicular
xy =25
15
+–
GUIDED PRACTICE for Example 2
Determine which lines, if any, are parallel or perpendicular.
Line a: 2x + 6y = –3
Line b: y = 3x – 8
Line c: –1.5y + 4.5x = 6
ANSWER
parallel: b and c; perpendicular: a and b, a and c
Class Work:
4-4Problems 2,4,6,8,10,
change to perpendicular.Problems 1,3,5,7,9,11,12;
parallel &Six Question Review of
Coordinate Unit