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Q26.

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

# Write the equation in function form. Then graph the equation.$3x-y=5$

The function form of the equation is $y=3x-5$.

See the step by step solution

## Step 1. Given information.

The given equation is $3x-y=5$.

## Step 2. Calculation.

To write the given equation in function form, we need to convert our equation in slope-intercept form $\left(y=mx+b\right)$ as:

$\begin{array}{c}3x-y=5\left(\text{Given equation}\right)\\ 3x-3x-y=5-3x\left(\text{Subtracting 3}x\text{from both sides}\right)\\ -y=-3x+5\\ -y\left(-1\right)=-1\left(3x-5\right)\left(\text{Multiplying both sides by}-1\right)\\ y=3x-5\end{array}$

Therefore, the function form of our given equation would be $3x-y=5$.

We can see that the slope of our given equation is 3 and the y-intercept is $\left(0,-5\right)$.

Upon graphing our given equation, we will get our required graph as shown below:

## Step 3. Conclusion.

The above graph is the required graph.