# A line segment is bisected by a line with the equation # 4 y + 3 x = 4 #. If one end of the line segment is at #( 8 , 9 )#, where is the other end?

##### 1 Answer

The other end is the point

#### Explanation:

Write the equation of the bisector is slope-intercept form:

The slope of the bisected line is the negative reciprocal,

Subtract equation [1] from equation [2]:

Solve for x:

This is the x coordinate of the point of intersection:

The change in x from the given point to the point of intersection:

The x coordinate of the other end of the line twice the above added to 8:

Substitute

The other end is the point