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Distance Formula
Midpoint Formula
Equations of Circles
Linear equations pt 1
Linear equations pt 2
100
Where is the distance formula derived from? Hint: Think of your length being a hypotenuse of a triangle
The Pythagorean Theorem a^2 + b^2 = c^2 when we solve for C using coordinate pairs we obtain the distance formula
100
What is the midpoint between (0,0) and (0,2)
Midpoint = (0,1)
100
What is the standard form equations of a circle?
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is your center coordinate and r is your radius
100
what is the slope and y intercept of the following equation x + y = 2
m = -1 y intercept = 2
100
Write a linear equation that is A.) Parallel to the line y = 3x +1 B.) Perpendicular to the line y = 3x +1
A.) y = 3x b.) y = -1/3x
200
What is the distance between the points (1,1) and (9,7)
distance = 10
200
what is the midpoint between (1,12) and (6,0)
Midpoint = (7/2, 6)
200
What is the center and radius of the circle (x+3)^2 + (y+4) ^2 = 4
Center (-3,-4) Radius = 2
200
what is the slope and y intercept of the following equation 2x + 3y = 9 sketch the line
m = -2/3 radius = 3
200
find the slope intercept form of the equation of the line that passes through the given point and has the indicated slope point = (-3,6) m = -2
y = -2x +12
300
What is the distance between the points (-4,10) and (4,-5)
Distance = 17
300
What is the midpoint between (-1,2) and (5,4)
Midpoint = (2, 3)
300
Part A Write the standard form of an equation with Center (-7,-4) and radius = 7 Part B What is the center and radius of the following circle (x-5)^2 + (x+6) ^ 2 = 9
Part A (x+7)^2 + (y+4)^2 = 49 Part B center = (5, -6) and radius = 3
300
plot the points and find the slope of the line passing through the points (-6, -1) and (-6, 4)
Slope is undefined!
300
find the slope intercept form of the equation of the line that passes through the given point and has the indicated slope Part A point = (2,1) m = 0 Part B point = (2,1) m is undefined
part A) y = 1 B.) x = 2
400
what is the distance between the points (1/2, 1) and (-5/2, 4/3)
What is √82 / 3
400
find the Midpoint of (1/2, 1) and (-5/2, 4/3)
(-1, 7/6)
400
Part A Write standard form of an question with endpoints (0,0) and (6,8) Part B (x-2)^2 + (y +3)^2 = 16/9
Part A center = (3,4) radius = 5 so (x-3)^2 + (y-4)^2 = 25 Part B center = (2,-3) and radius = 4/3
400
plot the points and find the slope of the line passing through the points (0,-10) and (-4, 0)
m = - 5/2
400
Write the slope - intercept form of equations of the lines through the given point A.) parallel to the given line B.) perpendicular to the given line point = (2,1) line is 4x - 2y = 3
A.) y = 2x -3 b.) y = -1/2 + 2
500
An airplane flies from Naples, Italy in a straight line to Rome, Italy, which is 120 kilometers North and 150 Kilometers west of Naples. How far does the plane fly?
30√41
500
A line segment AB, with a midpoint at (3,5), is located in the standard (x,y) coordinate plane. If A is (2,7) what are the coordinates of point B?
(4,3)
500
Part A Write the standard equation of a circle with endpoints ( -4,-1) and (4,1) Part B What is the center and radius of following equation -6x = -x^2 + 32y -264 - y^2
Part A Center is (0,0) and radius is √65 Part B we simplify into (x-3)^2 + (y-16)^2 = 1 here center is (3,16) and radius = 1
500
plot the points and find the slope of the line passing through the pair of points (7/8, 3/4) and (5/4, -1/4)
m = -8/3
500
Write the slope - intercept form of equations of the lines through the given point A.) parallel to the given line B.) perpendicular to the given line point = (-1,0) and line is y = -3
A) y = 0 B) x = -1