Question

30 points!! What is the equation of this line?

Answer 1

y = - 2x

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 ) = (- 1, 2) ← 2 points on the line

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

y = - 2x ← equation of line