A line segment is bisected by a line with the equation # 7 y + x = 3 #. If one end of the line segment is at #(1 ,6 )#, where is the other end?
The other end of the bisected line could be any point on
and some other point
with an intersection point of
Then
and
Specifically, we could solve
and
and obtain endoflinesegment values:
and
Using the slopes
or (paralleling the given form):
By signing up, you agree to our Terms of Service and Privacy Policy
To find the other end of the line segment bisected by the line with the equation (7y + x = 3), given that one end is at (1, 6), follow these steps:

Calculate the slope of the given line. Rearrange the equation to solve for (y) in terms of (x): (y = \frac{1}{7}x + \frac{3}{7}). The coefficient of (x) is the slope of the line.

The line segment is bisected by this line, meaning it passes through the midpoint of the line segment. Use the midpoint formula to find the coordinates of the midpoint.

Use the midpoint coordinates and the given endpoint (1, 6) to find the equation of the line passing through these two points.

Find the intersection point of this line with the line (7y + x = 3). This intersection point will be the other end of the line segment.

Calculate the coordinates of the intersection point.
These steps will lead to finding the coordinates of the other end of the line segment.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided 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 onesided 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 onesided 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 onesided 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.
 What is the centroid of a triangle with corners at #(3 , 1 )#, #(2 , 3 )#, and #(5 , 2 )#?
 Find the locus of a point equidistant from two lines #y=sqrt3x# and #y=1/sqrt3x#?
 What is the equation of the perpendicular bisector of the line segment through the points (2, 6) and (2, 4)?
 What is the difference between medians, perpendicular bisectors, and altitudes?
 A line segment is bisected by a line with the equation # 7 y + 3 x = 2 #. If one end of the line segment is at #( 2 , 1 )#, where is the other end?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7