Question

Find the equation of a straight line passing through the mid-point of a line segment joining the points (1, – 5), (4, 2) and parallel to Y-axis

Answer 1

Mid point of the line joining to points (1, – 5), (4, 2)

Mid point of the line = `((x_1 + x_2)/2, (y_1 + y_2)/2)`

= `((1 + 4)/2, (-5 + 2)/2)`

= `(5/2, (-3)/2)`

Equation of a line parallel to Y-axis is x = `5/2`

⇒ 2x = 5

2x – 5 = 0