Vertical Line

A vertical line is a straight line that goes up and down, parallel to the y-axis on a coordinate plane. The equation of a vertical line is always in the form x = a, where 'a' is the x-coordinate of any point on the line. This means that no matter what value y takes, x will always be the same. In other words, all the points on a vertical line have the same x-coordinate.

Characteristics of a Vertical Line

Parallel to the y-axis
Equation in the form x = a
All points have the same x-coordinate

Graphing a Vertical Line

To graph a vertical line with equation x = a, simply draw a straight line that goes up and down, passing through the point (a, 0) on the x-axis. This line will be parallel to the y-axis.

Study Guide

Here are some key points to remember when working with vertical lines:

A vertical line is always parallel to the y-axis.
The equation of a vertical line is x = a, where 'a' is the x-coordinate of any point on the line.
All points on a vertical line have the same x-coordinate.
To graph a vertical line with equation x = a, plot the point (a, 0) on the x-axis and draw a straight line through that point, parallel to the y-axis.

◂Math Worksheets and Study Guides Eighth Grade. Real numbers

The resources above cover the following skills:

The Number System

Know that there are numbers that are not rational, and approximate them by rational numbers.

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. [8-NS1]

Expressions and Equations

Work with radicals and integer exponents.

Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. [8-EE2]