# A line segment is bisected by a line with the equation # -6 y + 9 x = 2 #. If one end of the line segment is at #( 5 , 1 )#, where is the other end?

##### 1 Answer

Oct 22, 2016

The point is

#### Explanation:

Write the given equation in slope-intercept form:

The slope is

Use the point-slope form of the equation of a line, to find the equation of the bisected line:

Subtract the second line from the first:

The change in x from

Add twice that number to 5 to get the x coordinate of the other end of the line segment:

13/13(5) - 74/13 = -9/13

Substitute into the equation of the line for the y coordinate: