## Equation of a Straight Line

#### Aligned To Common Core Standard:

**Grade 8 Functions** - 8.F.A.3

What is the Equation of a Straight Line? The most discussed concept in mathematics is the concept of a straight line. If you were to ask the equation of a straight line, you would probably be confused because the term is vast and take various forms of equations depending on the facts you know about the line equation. Since the concept is broad, you can determine the equation of a straight line in the following various forms: y = m x + b; This is used when given the slope m and "y-intercept" b. (y- y1)/(x-x1) = m, this is used when we have the slope of the line, m, and one-point given such as P1 = (x1, y1) through which the line crosses. The above equation is written in a form that makes it clear that both the given point P1 and slope of the line calculated at any point (x, y) are the same. The relationship is further simplified as: y = m (x-x1) + y1 The above-written form is simpler and tidier but doesn't reveal the truth about how the equation was derived. Slope: m = (y2- y1)/ (x2-x1); as the line crosses two different points (x1, y1) and (x2, y2), find out the slope of the line first to proceed. These worksheets and lessons help students understand how to determine the equation of a line from given points that exist on the line.

### Printable Worksheets And Lessons

- Linear or nonlinear Step-by-Step
Lesson- Graph the equations. If they are a straight line, we
classify them as linear.

- Guided Lesson - This
is a quick one because 2 out of 3 of the problems are visual. Problem
3 will ask you to make the graph first.

- Guided Lesson Explanation
- Since the problems are mostly visual based, it makes them easier
to explain.

- Independent Practice
-You are on the hunt for linear equations. Graphs help out in a
big way.

- Matching Worksheet
- This is one of my favorite worksheets that I have ever made. Mostly
because I put a lot of care into creating the graphs.

- Slope and Equation
of Lines Five Pack - We describe a little bit about a line.
We ask you to tell us more.

- Graphs & Equations of
Lines Five Pack - I love how a simple line can be written as
a formal equation.

- Equation of a Line Worksheet Five Pack - We focus on find the equations and their slopes.

#### Homework Sheets

I would be very surprised if students have a hard time with this after they complete all the homework sheets.

- Homework 1 - Determine if the function is linear or non-linear.
- Homework 2 - Linear- The equation must fit into the form y = mx + b The variables cannot have exponents. When graphed they must form a straight line.
- Homework 3 - The range of change is constant so the graph shows a straight line. Straight Lines = linear equations.

#### Practice Worksheets

There is a ton of graphing in your future, if plan to tackle these problems.

- Practice 1 - Use the table to determine if the equation is linear or nonlinear.
- Practice 2 - Non-linear - Equations that do not graph as a straight line.
- Practice 3 - More work with data tables.

#### Math Skill Quizzes

I put two different sub-skills together with every sheet.