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1.C Warm – UP
• Solving Multi-Step Inequalities
How are solving equations and inequalities the same/different?
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1.b quiz/class work
• Using multi-step equations to solve word problems
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Everybody Get-up
Come to the board and write down something you remember about:
• slope• the slope intercept form of a line • graphing – A point – A line
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Lesson 1.d:understand the concepts of slope and rate of change
After this lesson you will be able to …• Determine the slope of a line
• Determine if a line rises, fall, is horizontal or vertical
• Determine if two lines are parallel, perpendicular or neither
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Slope Video
• http://www.youtube.com/watch?feature=player_embedded&v=bRGxIJRPZjQ
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What Do We Mean by Slope?:
• How much a line goes up vertically compared to how much it goes out horizontally.
• rise/run or change in y/change in x
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So, What Good Is That?
• It tells you exactly what your equation should look like when graphed!
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The Slope FormulaFinding Slope From Two Points:
. where,
:formula by the
given is ),( and ),( scoordinatewith
points twocontaining line a of slope The
2112
12
2211
xxxx
yym
yxyx
m
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Mix and Match 4 times:
• Raise your hand to find a partner.• Use your card and your partner’s to find the
slope of the line passing through your points.• Check your results and make sure they match.• Switch cards.• Raise your hand to find another partner.• You may not partner the same person more
than once.
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Finding Slope From a Graph:
m = m = m =
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Two Special Cases:
Horizontal Line:
m =
Equation:
Vertical Line:
m =
Equation:
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Let’s Sum Things Up:
• If m is positive:
• If m is negative:
• If m is 0 (zero)
• If m is undefined:
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Parallel Lines:
• Parallel lines have the same ______.
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Determine if is parallel to . M (-3,-4), A (7,-10), T (-1,6), H (4,3)
MA TH
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Perpendicular Lines:
• Perpendicular lines have slopes which are negative inverses (reciprocals) of each other.
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Example
Are these perpendicular?• Line AB: A(4, 8) B(-3, 5)• Line CD: C(1, 9) D(4, 2)
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Use your point with the point (3,-1) and do the following:
• Find the slope of the line passing through your point and (3,-1).
• Find the slope of a line passing parallel to your line.
• Find the slope of a line perpendicular to your line.
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TOTD
• 1.b, 1.c & 1.d
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1.d Homework
• 2-3 Study Guide 1 – 4, 7, 10-12