Question

Question 2 / 3

Write the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph

Image reference
A.
y = 1/2x

B.
y = x

C.
y = 2x

Answer 1

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

The options given are:

A. \( y = \frac{1}{2}x \)
B. \( y = x \)
C. \( y = 2x \)

Since I cannot see the graph, I will explain how to choose the right equation based on the slope.

1. If the line rises at a 45-degree angle, the slope \( m = 1 \) and the equation is \( y = x \) (option B).
2. If the line rises less steeply, say half as steep, then the slope \( m = \frac{1}{2} \) and the equation is \( y = \frac{1}{2}x \) (option A).
3. If the line is steep, meaning it rises rapidly, then the slope \( m = 2 \) and the equation would be \( y = 2x \) (option C).

Please check the graph to determine the slope of the line, and choose the corresponding option.