(1331) How To Find The Equation of a Line From a Graph | Algebra

Understanding the Equation of a Line

  • The equation of a line can be expressed in slope-intercept form:

    • Formula: (Y = MX + B)

    • M represents the slope of the line.

    • B represents the y-intercept, which is the point where the line crosses the y-axis.

Identifying the y-Intercept

  • To find the y-intercept of a graph, locate where the line intersects the y-axis.

  • The y-axis is the vertical axis on a graph.

Example Graphs

  • Red Graph

    • The red line touches the y-axis at the point where (B = 2).

  • Blue Graph

    • The y-intercept for the blue graph is found at the point where (B = 3).

  • Green Graph

    • The y-intercept for the green graph is found at the point where (B = -2).

Recap

  • It’s important to correctly identify the y-intercept for each graph to express its equation accurately in slope-intercept form.

  • The values of (B) for the respective graphs are crucial for forming their complete equations.