Final answer:
Yes, the given equation defines y as a function of x.
Step-by-step explanation:
Yes, the given equation y = -10x + 4 defines y as a function of x.
A function is a relationship between a set of inputs, called the domain, and a set of outputs, called the range, where each input is associated with exactly one output.
In this equation, for every value of x, there is only one corresponding value of y, satisfying the condition for a function. For example, when x = 0, y = -10(0) + 4 = 4.
When x = 1, y = -10(1) + 4 = -6.
The equation is in the form y = mx + b, where m is the slope and b is the y-intercept.
In this equation, the slope is -10 and the y-intercept is 4. The slope tells us that for every increase in x by 1, y decreases by 10, and the y-intercept tells us that when x is 0, y is 4.