Parallel and
Perpendicular Slope
Surprise!
Determine the line
Midpoint + Endpoints
Distance
100
What is the slope of the line perpindicular to y=(3/4)x + 7
-(4/3)
100
What is the slope of the line that contains the points (4,5) and (-6, -7).
6/5
100
What is the point-slope form equation of the line that passes through (1,4) and has a slope of (-2)?
(y-4) = (-2)(x - 1)
100
Given the points A and B where A is at coordinates ( 2,-5 ) and B is at coordinates ( -3,-7 ) on the line segment AB, find the midpoint of AB.
(-.5,-6)
100
What is the distance formula?
d=√(x₂-x₁)²+(y₂-y₁)²
200
Are the lines y = 4x + 4 and y = (1/4)x + 8 parallel, perpendicular, or neither?
Neither.
200
One endpoint of a line segment is (6,2). The midpoint of the segment is (2,0). Find the coordinates of the other endpoint.
(-2, -2)
200
Write the slope-intercept form of the equation of the line passing through the point (–6, 0) and parallel to the line y =3x - 6
y = 3x + 18
200
Find the midpoint of the line segment AB where point A is at ( 0, 2 ) and point B is at ( -1, - 4 ).
(-.5,-1)
200
Find the length of line AB if A is at coordinates ( 2, -5 ) and B is at coordinates ( -3, -7 ).
√29
300
What is the slope of a line perpendicular to the line whose equation is 20x - 2y = 6?
(-1/10)
300
What is the equation of the line that is parallel to the line y-6x = 8 and passes through the point (7,2)? Write your answer in standard form.
y-6x = -40
300
Give the slope-intercept form of the equation of the line that is perpendicular to 3X + 8y = -8 and contains (9,7).
y=(8/3)x - 17
300
Segment AB is the diameter of circle M. The coordinates of A are (-4, 3). The coordinates of M are (1, 5). What are the coordinates of B?
(6,7)
300
What is the distance between the points (-5, 7) and (6, 2)?
√146
400
Find the slope of the line perpendicular to the line that passes through the points (-5, 7) and (4, -6)
(9/13)
400
Find an equation y = m x + b of the perpendicular bisector of the line segment joining the points A(3,5) and B(9,-1).
y = x - 4
400
Find the equation of the perpendicular bisector to the line that contains the endpoints ( 2 , 5 ) and ( 4 , 1 ).
y = 1/2x + 1.5
400
The midpoint of line AB is (-1, 5) and the coordinates of point A are (-3,2). What are the coordinates of point B?
(1, 8)
400
To get from Bronx Lighthouse to her home, Chanaya travels 5.0 miles east and then 4.0 miles north. When Ashley goes to her home from Bronx Lighthouse, she travels 8.0 miles east and 2.0 miles south. What is the measure of the shortest distance between Chanaya’s home and Ashley’s home?
square root of 13
500
What is equation of the line perpendicular to the line 6y + 3x =6, that contains the point (-4, 3)?
y = 2x + 11
500
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. Midpoint (8,11), endpoint (-1,13)
(17, 9)
500
2 Which equation represents the perpendicular bisector of AB whose endpoints are A(8,2) and B(0,6)? 1) y = 2x - 4 2) y = −1/2x +2 3) y = −1/2x +6 4) y = 2x - 12
y = 2x - 4
500
In circle F, the diameter of line RS has endpoints R(3, 2b -1) and S(a -6, 4b + 5). Find the coordinates of the center of the circle.
(2a - 3, 3b + 2)
500
To get from his home to his best friend's home, Andres must drive around the library. If he drives 3 miles north, then 4 miles east, and finally 5 miles south, what is the straight-line distance between Andres's home and his friend's home?
√20
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