Suppose a company had the slope and

### Guidance

Once we know the slope and the

#### Example A

*Graph the solutions to the equation*

**Solution:**

The equation is in slope-intercept form. To graph the solutions to this equation, you should start at the

#### Example B

*Graph the equation*

**Solution:**

Using the definition of slope-intercept form, this equation has a

**Slopes of Parallel Lines**

**Parallel lines** will never **intersect**, or cross. The only way for two lines never to cross is if the method of finding additional coordinates is the same.

Therefore, it's true that **parallel lines** have the same slope.

You will use this fact in later algebra lessons as well as in geometry.

#### Example C

*Determine the slope of any line parallel to*

**Solution:**

Because parallel lines have the same slope, the slope of any line parallel to

### Video Review

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### Guided Practice

*Graph y=−25x by graphing the y-intercept first, and then using the slope to find a second point to graph.*

**Solution:**

First, graph the

Next, the slope is

### Explore More

Sample explanations for some of the practice exercises below are available by viewing the following video. Note that there is not always a match between the number of the practice exercise in the video and the number of the practice exercise listed in the following exercise set. However, the practice exercise is the same in both. CK-12 Basic Algebra: Graphs Using Slope-Intercept Form (11:11)

Plot the following functions on a graph.

y=2x+5 y=−0.2x+7 y=−x y=3.75 27x−4=y y=−4x+13 −2+38x=y y=12+2x

In 9 – 16, state the slope of a line parallel to the line given.

y=2x+5 y=−0.2x+7 y=−x y=3.75 y=−15x−11 y=−5x+5 y=−3x+11 y=3x+3.5

**Mixed Review**

- Graph
x=4 on a Cartesian plane. - Solve for
g:|8−11|+4g=99 . - What is the order of operations? When is the order of operations used?
- Give an example of a negative irrational number.
- Give an example of a positive rational number.
*True or false:*An integer will always be considered a rational number.

### Answers for Explore More Problems

To view the Explore More answers, open this PDF file and look for section 4.10.