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 X-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)`

Any line parallel to X-axis. Slope of a line is 0.

Equation of a line is y – y₁ = m (x – x₁)

`y + 3/2 = 0(x - 5/2)`

`y + 3/2 = 0`

⇒ `(2y + 3)/2` = 0

2y + 3 = 0