Question

What is the equation of this line?

A: y= 1/4x
B: y= -4x
C: y= -1/4x
D: y= 4x

Answer 1

C

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) )`

let (x₁, y₁ ) = (- 4, 1 ) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

substitute these values into the formula for m

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

y = -
`(1)/(4)` x ← equation of line