A line segment is bisected by a line with the equation # 3 y - 8 x = 2 #. If one end of the line segment is at #(1 ,3 )#, where is the other end?
The other end is at the point:
When given a the equation of a line in standard form:
All lines perpendicular to the given line will be of the form: where k is an arbitrary constant. Write the given equation for the bisecting line in standard form: Write the equation for all lines perpendicular to equation [3]: The start of the bisected line segment, Substitute 1 for x and 3 for y into equation [4] and solve for k: The equation of the bisected line segment is: Add 8 times equation [3] to 3 times equation [5]: The x coordinate of the end can be found by adding the start coordinate to twice the change for the point of intersection: Substitute Here is a graph of, the two lines, the start point, and the end point.
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The other end of the line segment is at the point (7, 3).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- A line segment is bisected by a line with the equation # - 3 y + 2 x = 5 #. If one end of the line segment is at #( 7 , 9 )#, where is the other end?
- A line segment is bisected by a line with the equation # 6 y + 5 x = 2 #. If one end of the line segment is at #( 5 , 8 )#, where is the other end?
- A triangle has corners A, B, and C located at #(5 ,2 )#, #(7 ,9 )#, and #(9 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- How many perpendicular bisectors can be constructed for a line?
- A triangle has corners A, B, and C located at #(3 ,4 )#, #(7 ,5 )#, and #(2 ,9 )#, respectively. What are the endpoints and length of the altitude going through corner C?
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