# A line segment is bisected by a line with the equation # 5 y -4 x = 1 #. If one end of the line segment is at #(3 ,8 )#, where is the other end?

The other end is at the point

Since it is assumed that the bisector and the bisected line are perpendicular, we can determine the slope of the bisected line using the bisector's slope.

To enable us to observe the slope, write the equation for the bisector line in slope-intercept form:

The bisected line's equation is as follows:

Equation [1] is subtracted from equation [2]:

The intersection's x coordinate is:

The starting point is two units to the right of the point of intersection, and an extra two units must separate the ending point:

Enter 7 in place of x in equation [2]:

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The other end of the line segment bisected by the line with the equation (5y - 4x = 1) can be found by using the midpoint formula. Given that one end of the line segment is at the point (3, 8), and since the line bisects the segment, the midpoint of the segment is the same as the point (3, 8). Therefore, the other end of the line segment is also at the point (3, 8).

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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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