Line L1passes through the points A(1,2) and B(3,-4).Find the equation of L2 passing through the mid-point of AB and perpendicular to L1,leaving your answer in the form ax+by+c=0

1 answer

L1 has slope 3
so L2 has slope -1/3
The midpoint is at (2,-1)
So, now we have a point and a slope, making the equation
y+1 = -1/3 (x-2)