Answer:
C
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (1, 1)
m = [tex]\frac{1+1}{1+1}[/tex] = [tex]\frac{2}{2}[/tex] = 1, thus
y = x ← equation of line
