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Distance Formula
Circle Equations
Slope Formula
Classifying Lines
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100
What is the distance formula?
d=(X2-X1)2 + (Y2-Y1)2 *Square Rooted
100
What is the circle equation?
(x-h)2 + (y-k)2 = r2
100
What is the slope formula?
m=(Y2-Y1)/(X2 -X1)
100
Draw a positive slope.
Higher end should be on the right; Lower end on the left.
100
Fill in the Blank. For a positive slope, the __________ the number, the steeper the line.
Bigger
200
Find the distance between (0, 0) and (1, 1).
d=2 *Square Rooted
200
What is the center and radius of this circle? (x-5)2 + (y+2)2= 16
Center: (5, -2) Radius: 4
200
Slope is...
a rate of change!
200
Draw a negative slope.
Higher end should be on left; lower end on right
200
Fill in the blank. For a negative slope, the __________ the number, the steeper the line.
Bigger
300
Find the distance between (-2, -3) and (2, 3).
d=52 *Square Rooted
300
What is the center and radius of this circle? (x+6)2 + (y-10)2 =25
Center: (-6, 10) Radius: 5
300
Find the slope of a line that passes through the points (7, 8) and (-2, 1).
m=7/9
300
Draw a zero slope.
horizontal line on zero
300
Determine whether the line through the given points rises, falls, is horizontal, or vertical. (5, 3) and (-7, 0)
Rises
400
Find the distance between (16,-3) and (12, -5).
d=20 *Square Rooted
400
Write an equation of the circle described. Center: (8, -5) Radius:6
(x-8)2 + (y+5)2 = 36
400
Find the slope of the line that passes through the points (10,4) and (11, 6).
m=2
400
Draw an undefined slope.
vertical line on zero
400
Determine whether the line through the given points rises, falls, is horizontal, or vertical. (-2, 5) and (-2, 8)
Vertical
500
The vertices of quadrilateral ABCD have these coordinates: A(0, 0) B (5, 0) C (7, 3) D (2, 3). Show that ABCD is a parallelogram.
AB=5 BC=13*Square Root CD=5 DA=13 *Square Root
500
Write an equation of the circle described. Center: (-4, -13) Radius: 8
(x+4)2 + (y+13) = 64
500
Find the slope of a line that passes through the points (-8, 9) and (0, -4).
m=-13/8
500
Draw a positive slope, negative slope, zero slope, and undefined slope on separate graphs.
Positive-high on right; low on left Negative-high on left; low on right Zero- horizontal on zero Undefined- vertical on zero
500
Which line is steeper? Line 1: through (5, 4) and (6, 2) Line 2: through (9, 1) and (7, 8)
Line 2 - The more negative slope, the steeper the line.