Question

Find the equation to the line below.

Y = - ?/?

Answer 1

y = -
`(4)/(3)` x

Explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 4) ← 2 points on the line

substitute these values into the formula for m

m =
`(4-0)/(-3-0)` =
`(4)/(-3)` = -
`(4)/(3)`

y = -
`(4)/(3)` x ← equation of line