Question

The equation of the line is Response area

This relationship is Response area , but not proportional.

To make this relationship proportional, we would shift the graph Response area

Answer 1

It seems like you are discussing a relationship that can be represented by a line, but you are indicating that it is not a proportional relationship. In mathematics, a proportional relationship can be expressed in the form of \( y = kx \), where \( k \) is a constant. In contrast, a non-proportional linear relationship can be expressed as \( y = mx + b \), where \( b \) is the y-intercept.

To make a non-proportional linear relationship into a proportional one, you can shift the graph by adjusting the y-intercept (the value of \( b \)). Specifically, you would set the y-intercept to zero, which effectively means adjusting your data so that it passes through the origin (0, 0).

Here’s how you might phrase this:

1. **Original relationship**: The relationship described by the line can be represented as \( y = mx + b \), where \( b \neq 0 \).

2. **Non-proportionality**: This means that as \( x \) increases, \( y \) does not pass through the origin, indicating that there is a constant offset.

3. **Making it proportional**: To transform this into a proportional relationship, we would adjust the y-intercept by shifting the graph vertically so that it intersects the origin. This can be achieved by subtracting \( b \) from the entire equation, leading to a new equation of the form \( y = mx \).

If you provide specific details about the equation or context, I can help you with more tailored instructions!