Question

What is the equation of this line? Graph of a line passing through the origin and the point begin ordered pair 4 comma negative 1 end ordered pair

Answer 1

y = -
`(1)/(4)` 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 ) = (4, - 1) ← 2 points on the line

m =
`(-1-0)/(4-0)` =
`(-1)/(4)` = -
`(1)/(4)`

y = -
`(1)/(4)` x ← equation of line