# A line segment is bisected by a line with the equation # 4 y + x = 3 #. If one end of the line segment is at #(5 ,6 )#, where is the other end?

The other end is at

Considering the following equation for the form's perpendicular bisector:

The bisected line's equation looks like this:

Using the above format to write the equation for the given perpendicular bisector:

We can now use the bisected line's general form:

The bisected line's equation is as follows:

Determine where the lines intersect:

Add to the first equation after multiplying the second equation by 4:

Calculate x:

To solve for y, use the following line:

The midpoint equations can be utilized to determine the opposite end:

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To find the coordinates of the other end of the line segment, substitute (x = 5) and (y = 6) into the equation of the line, then solve for the other variable.

Given equation: (4y + x = 3)

Substitute (x = 5) and (y = 6): (4(6) + 5 = 3) (24 + 5 = 3) (29 = 3)

This is a contradiction, which means there is no solution. There may be a mistake in the given information or in the calculation. Please double-check the equation or the provided coordinates.

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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.

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- What is the orthocenter of a triangle with corners at #(5 ,9 )#, #(4 ,3 )#, and (1 ,2 )#?
- A triangle has corners A, B, and C located at #(3 ,1 )#, #(6 ,7 )#, and #(9 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?

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