Chapter 8.2, Problem 20E

To determine

To graph:

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

Answer to Problem 20E

The equation $y=\frac{3}{2}x+1$ isa function.

Explanation of Solution

Given:

An equation: $y=\frac{3}{2}x+1$

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 $\frac{3}{2}$ and the y -intercept is at point $\left(0,1\right)$ .

Upon graphing $y=\frac{3}{2}x+1$ , we will get our required graph as shown below:

We can see that no vertical line will intersect the graph of equation $y=\frac{3}{2}x+1$ more than one place that is each x value corresponds to a specific y -value.

Therefore, the equation $y=\frac{3}{2}x+1$ is a function.