Question

Write the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph
the graph show a green line arcoos from the negatives

A.
y = 1/2x

B.
y = x

C.
y = 2x

Answer 1

To determine the correct equation of the line \( y = mx \) that describes the proportional relationship shown in the graph, we need to identify the slope \( m \) of the line.

Given the choices:
A. \( y = \frac{1}{2}x \)
B. \( y = x \)
C. \( y = 2x \)

- If the line rises gradually, it would likely be a fraction of \( x \), such as \( \frac{1}{2}x \).
- If the line rises at a 45-degree angle from the origin, it would be represented by \( y = x \).
- If the line rises steeply, it would have a slope greater than one, such as \( 2x \).

Since the description mentions the line crosses from the negatives, this detail suggests that the line has a positive slope. Without the graph to confirm the specific slope, I cannot determine which option is correct based solely on the described characteristics.

However, if you can describe what the slope looks like (flat, steep, or exactly at 45 degrees), I can help you select the appropriate equation. Based on typical patterns:

- Select **A** if the line appears more gradual.
- Select **B** if it is steep but at a 45-degree angle.
- Select **C** if it appears very steep.

Please confirm or provide further detail on the slope to assist in selecting the correct equation.