Question

Find the distance from point X to line p.

Answer 1

`\sf 2√(17)`

Explanation:

To find the distance of a line using distance formula:

The line from point X intersect the line p at (0 , -3).

( -2 , 5) ⇒ x₁ = -2 & y₁ = 5

(0 , -3) ⇒ x₂ = 0 & y₂ = -3

`\boxed{\bf Distance = √((x_1-x_2)^2 + (y_1-y_2)^2)}`

`\sf = √(-2-0)^2+(5-[-3])^2)\\\\=√((-2-0)^2 + (5+3)^2)\\\\=√((-2)^2+(8)^2)\\\\=√(4+64)\\\\=√(68)\\\\=√(2*2*17)\\\\=2√(17)`