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Published byMegan Cole Modified over 9 years ago
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A(0, 4) B(-3, 0) C(3, 5) D(-8, -11) E(7, -5) F(-3.5, 7.5)
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Essential Question: How do you calculate distance, midpoint, and slope on a coordinate plane?
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Origin x-axis y-axis Quadrants Coordinates Positive Negative
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Why?
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What is the midpoint of 7 and 15? What is the midpoint of (2, 7) and (4, 1)?
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Mary walks 3 miles north and 2 miles east. Her boyfriend John walks 2 miles south and 4 miles west. What is the straight line distance from their hearts?
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Essential Question: How do the slopes of parallel and perpendicular lines relate?
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Line with slope, m = -2, through (3, -5)
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y = mx + b m = b =
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b(egin) = m(ove)=
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Point-Slope Slope Intercept
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x-int (set y=0) y-int (set x=0)
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Solve for y: b(egin) m(ove)
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b(egin) = m(ove)=
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(10, 2) & (2, -2) Step 1: Find Slope Step 2: Combine pt & slope
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Slope: Equation:
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What is special? Horizontal: Vertical:
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Essential Question: How do the slopes of parallel and perpendicular lines relate?
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Are these parallel?
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Can you write the equation of a 3 rd line that is parallel?
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They are OPPOSITE RECIPROCAL slopes.
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Step 1: Perpendicular Slope: Step 2: Combine Point & Slope:
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Write the equation of the Line through (3, 2), which is perpendicular to 3x + 2y = -6.
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Essential Question: How can slope, distance and/or midpoint be used to establish properties of a plane figure?
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How should we draw it? › Origin & x-axis.
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Essential Question: How can slope, distance and/or midpoint be used to establish properties of a plane figure?
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Can we PROVE that the midpoints of a Rhombus form a Rectangle? Conveniently Plot a Rhombus, then find its midpoints…
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Midsegment is Parallel to Base and ½ the length of the 3 rd side! Place Triangle. Find Midpoints, calculate slope and length of Midsegment.
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Plan out a Proof:
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