Question

The three linear equations have y intercept of -3.8 and 7 respectively. Yet, a function can have only one y intercept. which of these is the y intercept of this function? explain how you made your choice.​

Answer 1

The three linear equations have different y-intercepts, indicating that they represent different functions.

Step-by-step explanation:

The y-intercept is the point where a linear equation crosses the y-axis. It represents the value of y when x is equal to zero. A linear equation can have only one y-intercept. If we have three linear equations with different y-intercepts, we can conclude that they are not representing the same function.

For example, let's look at the given equations: 7y = 6x + 8, 4y = 8, and y + 7 = 3x. The first equation has a y-intercept of -3.8, the second equation has a y-intercept of 8/4 = 2, and the third equation has a y-intercept of -7.

Since each equation has a different y-intercept, it means they are not representing the same function. Therefore, we cannot determine which y-intercept belongs to the function without additional information.