Question

in the xy-plane above, point c has coordinates (6,9) which of the following is an equation of the line that contains points o and c

Answer 1

The equation of the line that contains point O(0; 0): y = mx.

$m=\dfrac{y_0}{x_0}$

$(6;\ 9)\to x_0=6;\ y_0=9\\\\subtitute:\ m=\dfrac{9}{6}=\dfrac{3}{2}$

Answer:$\boxed{y=\frac{3}{2}x}$