Graph the line passing through the given point and having the indicated slope. Plot two points on the line. See Example 7. through (- 5/2 , 3), undefined slope

Key Concepts

Slope

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. An undefined slope occurs when a line is vertical, meaning there is no horizontal change, and thus the slope cannot be defined as a number. In this case, the line will pass through the given point and extend vertically.

Graphing a Line

Graphing a line involves plotting points on a coordinate plane based on a specific equation or slope. For a line with an undefined slope, you will plot the given point and draw a vertical line through it. This line will not have any horizontal movement, indicating that all points on the line share the same x-coordinate as the given point.

Coordinate Plane

A coordinate plane is a two-dimensional surface defined by a horizontal axis (x-axis) and a vertical axis (y-axis). Each point on the plane is represented by an ordered pair (x, y), where 'x' indicates the horizontal position and 'y' indicates the vertical position. Understanding how to navigate this plane is essential for accurately plotting points and lines.