Parallel lines are two or more lines that are always the same distance apart and never meet. When graphed on a coordinate plane, parallel lines have the same slope but different y-intercepts.

**Equal Angles:**When a transversal (a line that crosses two or more other lines) intersects parallel lines, corresponding angles, alternate interior angles, and alternate exterior angles are all congruent.**Never Intersect:**Parallel lines do not intersect, no matter how far they are extended.**Equal Slopes:**The slopes of parallel lines are always equal.

To identify parallel lines, you can use the slope-intercept form of a line (y = mx + b), where 'm' represents the slope. If two lines have the same slope but different y-intercepts, they are parallel.

Here are some key points to remember when studying parallel lines:

- Understand the definition of parallel lines and how they behave when intersected by a transversal.
- Practice identifying parallel lines by comparing their slopes and y-intercepts.
- Memorize the properties of angles formed by parallel lines and a transversal.
- Work on exercises that involve identifying and working with parallel lines on coordinate planes.

Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.