Question

Select all of the following that represent y as a function of x:

A. 2x = 5y - 7
B. 2 - 2 = (y - 3)²
C. y² = 4x + 5
D. 36 = x² + y²

Answer 1

The linear equations that represent y as a function of x are 2x = 5y - 7 and y² = 4x + 5.

Step-by-step explanation:

From the given options, the linear equations that represent y as a function of x are:

1. A. 2x = 5y - 7:
2. Rearranging the equation, we get: 5y = 2x + 7. Dividing by 5, we obtain y = (2/5)x + 7/5. This equation is in the form y = mx + b, which is a linear equation where m represents the slope and b represents the y-intercept.
3. C. y² = 4x + 5:
4. Rewriting the equation, we have y = ±sqrt(4x + 5). Although this equation is quadratic in terms of y, it still represents y as a function of x because for every x-value, we have two corresponding y-values.