Question

Write an equation of the line below

Answer 1

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

Explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope of the line )

calculate m using the slope formula

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

with (x₁, y₁ ) = (- 8, 4) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m =
`(0-4)/(0-(-8))` =
`(-4)/(0+8)` =
`(-4)/(8)` = -
`(1)/(2)` , then

y = -
`(1)/(2)` x ← equation of line