## Point and Slope

#### Aligned To Common Core Standard:

**Grade 8 Functions** - 8.F.B.4

What is Point and Slope Form?
As you learn more about the mathematical concepts, you understand that mathematics features a broad array of concepts. One such broad mathematical concept is the concept of linear equations. The concept of linear equations is not just broad but also a tad bit complex to comprehend. It is an algebraic equation which when plotted on a graph creates a straight line.
There are three different ways to represent or write a linear equation.
**1. General form**- ax + by + c = 0 (here both a and b have to be a non-zero number)
**2. Slope-intercept**- y = mx + b, this is the most common form of linear equation, where m is the
**3. Point-slope form**- (y - y1) = m(x - x1)
A point-slope equation is a linear equation that has a point (x1, y1) and a slope m. The entire equation focuses on the point on the line and the slope of the line. This linear equation is derived from the other equation used for finding the slope of a line.

### Printable Worksheets And Lessons

- Zero Slope Equations
Step-by-Step Lesson- If you have zero slope, that means you
just need to find the y-intercept.

- Guided Lesson
- We ask to find slope, the equation of lines, and write actual
line based equations.

- Guided Lesson Explanation
- Make sure that all students deeply understand the meaning of slope
and the y-intercept before working with these problems.

- Independent Practice
- A high intensity walk through several of these problem types.

- Matching Worksheet
- Find the equations for each line based scenario we throw at you.

- Graphs of Linear Equations Slope and Intercept Five Pack - What a variety of worksheets for you to play with.

#### Homework Sheets

We describe a line- you tell us the equation for that line.

- Homework 1 - A line has a zero slope and passes through the point (-3, 5). What is the equation of the line?
- Homework 2 - Find the slope of the line that passes through (2, 3) and (9, 5).
- Homework 3 - A line has a slope of 2 and passes through the point (-3, 5). What is the equation of the line?

#### Practice Worksheets

The descriptions of the lines are all over the place.

- Practice 1 - A line has a 2 slope and passes through the point (3, 2). What is the equation of the line?
- Practice 2 - Find the equations of the lines that are described.
- Practice 3 - More line equations for you to conjure up.

#### Math Skill Quizzes

You will be surprised how quickly kids pick up this skill.