Question

What is the equation of this line?

Answer 1

y = 2/3x

Explanation:

Use (rise)/(run) formula

Rise: 2

Run: 3

Answer 2

y =
`(2)/(3)` 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 ) = (- 3, - 2) and (x₂, y₂ ) = (3, 2) ← 2 points on the line

m =
`(2-(-2))/(3-(-3))` =
`(2+2)/(3+3)` =
`(4)/(6)` =
`(2)/(3)`

y =
`(2)/(3)` x ← equation of line