parallel means "same slope (m)"
m = [tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{0 - 5}{-3 - (-6)} = \frac{-5}{-3 + 6} = \frac{-5}{3}[/tex]
Now, input the point (0, 0) and the slope [tex](\frac{-5}{3})[/tex] into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - 0 = [tex]\frac{-5}{3}[/tex](x - 0)
y = [tex]\frac{-5}{3}x[/tex]
3y = -5x multiplied both sides by 3
0 = -5x - 3y subtracted 3y from both sides
Answer: C
