# Graphs of Linear Equations Worksheets

What does a Graph of a Linear Equation look like? Linear equations, as their name indicates, are equations representing straight lines on the graph. The equation of the straight line is constructed in such a way that no matter what value we put in place of its x and y-coordinates, the result will be the same and we will get a straight line plotted on the graph. The function of a straight line has a certain uniformity to it, and if we keep on increasing or decreasing the values of the coordinates, we get the same pattern, that is a straight line. The only difference that happens on the graph is that the line becomes longer or shorter. It often happens that if we keep on changing the values of the variables, the line remains straight, but it tilts to its either side, cutting both the axes. The points at which a line or a curve cuts both the axes are called intercepts.

• ### Basic Lesson

Demonstrates how to write linear equations based on the points they pass through.

• ### Intermediate Lesson

Explores how to tell if lines pass through given points based on their equations.

• ### Independent Practice 1

Contains 20 Graphs of Linear Equations problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 Graphs of Linear Equations problems.

• ### Homework Worksheet

Graphs of Linear Equations problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Graphs of Linear Equations problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Solving a Linear Equation?

1)Clear all parentheses, fractions and decimals. 2) Combine like terms. 3) Add the opposite to get the variable (and its coefficient) alone on one side. 4) Multiply both sides by the reciprocal of the coefficient of the variable.