Question

The points A (1, 3) and C (5, 1) are the opposite vertices of rectangle. The equation of line passing through other two vertices and having a slope of 2 is

• A. 2x + y – 8 = 0
• B. 2x – y – 4 = 0
• C. 2x – y + 4 = 0
• D. 2x + y + 7 = 0

Answer 1

The correct option is B 2x – y – 4 = 0

Midpoint of AC is B(3,2).
Given that the slope of the line is 2, so the equation of the line is y=mx+c ----(i)
Substituting B(3,2) in equation (i) we get y=2x-4, which is the required equation.