Answer:
y = - x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 7, 7) and (x₂, y₂ ) = (0, 0)
m = [tex]\frac{0-7}{0+7}[/tex] = [tex]\frac{-7}{7}[/tex] = - 1
⇒ y = -x is the equation of the line