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

Question

asked Mar 4, 2023 174k views

1 Answer

Efi MK · Answer 1 · 2023-03-09T16:56:05+0000

Answer:

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