4.

Question

Use the graph to match the responses.

(3 points)

The constant of proportionality (blank)

An equation that represents this graph. (blank)

The y-intercept (blank)

options for the "blanks", y=1/2x, (0, 0), (0, 1), 1/2, y = x, 2, 1, y = 2x, (0, 2), 0, (2, 0)

Answer 1

To match the responses with the options provided, we can analyze each item:

1. The constant of proportionality: This is the ratio of \(y\) to \(x\) when the graph represents a proportional relationship (a straight line through the origin). If the line's equation is \(y = \frac{1}{2}x\), then the constant of proportionality is \(\frac{1}{2}\).

2. An equation that represents this graph: If the graph corresponds to a line with a constant slope of \(\frac{1}{2}\), the equation would be \(y = \frac{1}{2}x\).

3. The y-intercept: The y-intercept is the point where the graph crosses the y-axis. If the graph goes through the origin (0, 0), then the y-intercept is (0, 0).

Now we can fill in the blanks:

• The constant of proportionality: 1/2
• An equation that represents this graph: y = 1/2x
• The y-intercept: (0, 0)

So, the answers are:

• The constant of proportionality: 1/2
• An equation that represents this graph: y = 1/2x
• The y-intercept: (0, 0)