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Q23.

Expert-verified
Found in: Page 410

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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# Graph the equation. Tell whether the equation is a function. $y=-5x+2$

The equation $y=-5x+2$ is a function.

See the step by step solution

## Step 1. Given information.

The given equation is $y=-5x+2$.

## Step 2. 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 $-5$ and the ­y-intercept is at point $\left(0,2\right)$.

Upon graphing $y=-5x+2$, we will get our required graph as shown below:

We can see that no vertical line will intersect the graph of equation $y=-5x+2$ more than one place that is each x value corresponds to a specific y-value.

Therefore, the equation $y=-5x+2$ is a function.

## Step 3. Conclusion.

The given equation is a function.

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