Which of the following best describes the equation below?

y= -7x + 6

answers choices are:

A. relation only
B. neither a relation nor a function
C. function only
D. both a relation and a function

there is one and only one value of y for each value of x so it is a function and it also is a relation between x and y

The equation y = -7x + 6 represents a linear function. This means that for each value of x, there is only one corresponding value of y. Therefore, the answer is C. function only.

To determine which of the answer choices best describes the equation y = -7x + 6, we need to understand the concepts of relations and functions.

A relation is a set of ordered pairs where there is a relationship between the elements of the pairs. In other words, it is a set of pairs that relates one quantity to another.

A function, on the other hand, is a special type of relation where each input value, or x-value, corresponds to exactly one output value, or y-value. In other words, no x-value can have more than one y-value associated with it.

Now, let's analyze the given equation: y = -7x + 6. This equation represents a linear relationship between y and x, where for every x-value, there is a corresponding y-value determined by the equation. Since each value of x will always yield a unique value of y, we can conclude that this equation represents a function.

Therefore, the answer choice that best describes the equation y = -7x + 6 is C. function only.

Relation