A horizontal line is a straight line that runs parallel to the x-axis on a coordinate plane. It has a slope of 0 and is always at the same y-coordinate.

To graph a horizontal line, plot points that have the same y-coordinate. Connect the points with a straight line to show that it is horizontal.

1. Graph the equation y = 3.

To graph y = 3, plot points (0, 3), (1, 3), (-1, 3), and so on. Connect these points to form a horizontal line parallel to the x-axis at y = 3.

2. Determine if the line with the equation y = -2x + 4 is horizontal.

The line with the equation y = -2x + 4 is not horizontal because it has a non-zero slope (-2).

Horizontal lines have a slope of 0 and run parallel to the x-axis. Their equations are in the form y = c, where c is a constant. When graphing, all points have the same y-coordinate.

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.