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: