A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. A linear equation is special because:

- It has one or two variables.
- No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
- When you find pairs of values that make the linear equation true and plot those pairs on a coordinate grid, all of the points for any one equation lie on the same line. Linear equations graph as straight lines.

A linear equation in one unknown x may always be rewritten

ax=b

If a≠0, there is a unique solution

x=b/a

If a = 0, then either the equation does not have any solution, if b ≠ 0 (it is inconsistent), or every number is a solution, if b is also zero.

Two variables:

A common form of a linear equation in the two variables x and y is Y=mx+b

where m and b designate constants (parameters). The constant m determines the slope or gradient of that line and the constant term b determines the point at which the line crosses the y-axis, otherwise known as the y-intercept.

- General (or standard) form
- Slope–intercept form
- Point–slope form
- Two-point form
- Intercept form
- Matrix form
- Parametric form
- 2D vector determinant form

Let's draw the graph of this equation.

y = 1/2 x+ 2

- Find the x and y values of two points that satisfy the equation
- Plot each point, and then draw a line through the points.

We can start with any two x values we like and then find y for each x by substituting the x values into the equation. Let's start with x = 1.

Value of x | y=1/2 x +2 | Value of y |
---|---|---|

1 | y=1/2*1+2=1/2+2 | 2.5 |

2 | y=1/2*2+2=1+2 | 3 |

Let's plot these points and draw a line through them.

**Slope:** The slope intercept form of a linear equation has the following form where the equation is solved for y in terms of x:

y = a + bx

b is the slope

a is a constant term. It is the y intercept, the place where the line crosses the y axis.

Example

y = -13 + 7x

This equation is in slope intercept form. The y intercept is (0,-13) and the slope is 7.

Assignment Writing Help

- Science Assignment Help
- Math Assignment Help
- Chemistry Assignment Help
- Physics Assignment Help
- Biology Assignment Help
- Psychology Assignment Help
- History Assignment Help
- Geography Assignment Help
- English Assignment Help
- Humanities Assignment Help
- Nursing Assignment Help
- Social Science Assignment Help
- Arts and Architecture Help
- Statistics Assignment Help
- Law Assignment Help
- Computational Mathematics Assignment Help

Engineering Assignment Services

- Programming Assignment Help
- Database Help
- Data Structure Assignment Help
- Operating Systems Assignment Help
- Computer Network Assignment Help
- UML Diagram Assignment Help
- IT Assignment Help
- Game Programming Help
- Computer Science Assignment Help
- Information Systems Assignment Help
- Chemical Engineering Assignment Help
- Civil Engineering Assignment Help
- Electrical, Electronics Help
- Mechanical Engineering Assignment Help
- Petroleum Engineering Assignment Help
- Biochemical and Biotechnology Help

Do My Assignment Help

- Accounting Assignment Help
- Finance Assignment Help
- Economics Assignment Help
- Marketing Assignment Help
- Human Resources Assignment Help
- Operations Management Assignment Help
- Strategy and Planning Help
- Project Management Help
- Case Studies Writing Help
- Political science
- Referencing Help
- Assignment Help Websites
- Online Assignment Help
- Do My Assignment
- Do My Homework
- Health Informatics

Write My Essay Services

- Essay Writing Help
- Business Essay Writing Help
- Assignment Writing Services
- Plagiarism Free Essay Writing
- Essay Editing Service
- Dissertation Writing Services
- Thesis Writing Help
- Custom Writing Help
- Write My Essay
- Write My Paper
- Paper Writing Service
- Academic Writing Help
- College Essay Writing
- Cheap Essay Writing