Determining the Slope of a Line

a graph of a line

The slope of the line y = −2/3x + 1 is −2/3

The slope of a line represents the constant rate of change in y as x changes by a constant amount. It is given as a ratio of the vertical change compared to the horizontal change. In this topic, you will learn how to determine the slope of a line when given its graph and its equation. You will also learn how to use the slope formula to determine the slope of a line when given the coordinates of two points on the line.

Essential Questions

  • How can you determine the slope of a line when given its equation?
  • How can you determine the slope of a line when given its graph?
  • How can you determine the slope of a line when given two points on the line?