Question

What is the equation of the following line? Be sure to scroll down first to see

all answer options.

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) )`

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 1) ← 2 points on the line

m =
`(1-0)/(-3-0)` = -
`(1)/(3)`

y = -
`(1)/(3)` x ← equation of line