Chapter 8, Problem 3MCQ

To determine

To graph:

The given equations. Tell whether each equation is a function.

Answer to Problem 3MCQ

The equation $y=-x+7$ is a function.

Explanation of Solution

Given:

An equation:

  $y=-x+7$

Calculation:

We can see that our given equation is in slope-intercept form $y=mx+b$ , where m represents slope of line and b represents the y-intercept.

Upon looking at our given equation, we can see that the slope of our given line is $-1$ and the y-intercept is at point $\left(0,7\right)$ .

Upon graphing $y=-x+7$ , we will get our required graph as shown below:

  

We can see that no vertical line will intersect the graph of equation $y=-x+7$ more than one place that is each x value corresponds to a specific y-value.

Therefore, the equation $y=-x+7$ is a function.