# A line segment is bisected by a line with the equation # -3 y + x = 1 #. If one end of the line segment is at #(1 ,6 )#, where is the other end?

##### 1 Answer

The other end is a

#### Explanation:

Write the equation for the bisector in slope-intercept form:

The slope is,

The slope, n, for the bisected line is,

Use the slope and the point,

The equation for the bisected line is:

Subtract equation

The x coordinate of the point of intersection is:

To go from 1 to 2.8, the x coordinate increased 1.8, therefore, to go to the other end of the line x coordinate must increase twice that much, 3.6.

This is the x coordinate of the other end of the line.

To find the y coordinate, substitute 4.6 for x into equation

#y = -3(4.6) + 9