Question

Find the equation of the lien shown.

Answer 1

y =
`(1)/(2)` x

Explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line

m =
`(3-0)/(6-0)` =
`(3)/(6)` =
`(1)/(2)`

y =
`(1)/(2)` x ← equation of line