Chapter 8: Q20. (page 410)

Graph the equation. Tell whether the equation is a function.
$y = \frac{3}{2} x + 1$

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information.

The given equation is $y = \frac{3}{2} x + 1$ .

Step 2. Calculation.

We can see that our given equation is in slope-intercept form $y = m x + b$ , 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 $(0, 1)$ .

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.

Step 3. Conclusion.

The given equation is a function.

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Graph the equation. Tell whether the equation is a function.
$y = \frac{3}{2} x + 1$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

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Graph the equation. Tell whether the equation is a function.y=32x+1

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

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Graph the equation. Tell whether the equation is a function.
$y = \frac{3}{2} x + 1$