The endpoints of a side of rectangle ABCD in the coordinate plane are at A (2, 11) and B (7, 1). Find the equation of the line that contains the given segment. The line segment is AD. The equation is y = .
Accepted Solution
A:
we know that A (2, 11) and B (7, 1)
step 1 find the slope of a line AB the slope m=(y2-y1)/(x2-x1)------> m=(1-11)/(7-2)---> m=-10/5----> m=-2
step 2 find the equation of a line AD
we know that the segment AB and the segment AD are perpendicular so m1*m2=-1 m2=-1/m1-----> m2=1/2
with the slope m2=1/2 and the point A(2,11) y-y1=m*(x-x1)------> y-11=(1/2)*(x-2)----> y=(1/2)x-1+11 y=(1/2)x+10----> y=0.5x+10
the answer is the equation of a line AD is y=0.5x+10