Question

the equation $y = 9x$ represents a proportional relationship. the graph of this equation is a line that passes through the origin at $(0,0)$ true false cant tell

Explanation:

Step1: Identify proportional form

A proportional relationship follows the form $y = kx$, where $k$ is a constant. The given equation $y=9x$ matches this form with $k=9$.

Step2: Check origin passage

Substitute $x=0$ into $y=9x$:
$y = 9(0) = 0$
This gives the point $(0,0)$, so the line passes through the origin.

Step3: Verify statement validity

Both claims (proportional relationship, passes through origin) are true for $y=9x$.

Answer:

True