Question

What is the equation of the following linear function?

Answer 1

y = - 2x

Explanation:

The equation of a line passing through the origin is

y = mx ← m is the slope

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

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

m =
`(0-2)/(0+1)` =
`(-2)/(1)` = - 2

y = - 2x ← equation of line