Question

Write an equation that represents this nonproportional linear relationship.

Responses

y=x+2
y equals x plus 2

y=x+1
y equals x plus 1

y=12x+1
y equals Start Fraction 1 over 2 End Fraction x plus 1

y=−2x+1

Answer 1

To identify an equation that represents a nonproportional linear relationship, we need to ensure that the equation has a non-zero y-intercept, which means it doesn't pass through the origin (0,0).

Among the provided options:

1. **y = x + 2** - This has a y-intercept of 2.
2. **y = x + 1** - This has a y-intercept of 1.
3. **y = (1/2)x + 1** - This has a y-intercept of 1.
4. **y = -2x + 1** - This has a y-intercept of 1.

All of these equations are linear and nonproportional, but none pass through the origin, so they are all valid for a nonproportional relationship.

If I had to choose one example from the list, I would select **y = (1/2)x + 1** because it clearly shows a nonproportional relationship where the slope is not equal to a direct whole number, making it a distinct choice:

**y = (1/2)x + 1**.