Standard Form of a Line

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Taught by mrbrianmclogan
  • Currently 4.0/5 Stars.
8063 views | 1 rating
Part of video series
Meets NCTM Standards:
Errors in this video:

In the Standard Form of a line, the coefficient of x should be a positive integer, so we should multiply the equation by -1 to get 6x - 4y = -42.

Lesson Summary:

In this lesson, you will learn how to put a linear equation into standard form and find the x and y intercepts. Standard form is ax plus dy equals c, and to put an equation in standard form, you need to manipulate it algebraically. The x intercept is where the y value is zero, and the y intercept is where the x value is zero. By plugging in either zero for x or y, you can solve for the intercepts. This lesson provides a clear demonstration of how to utilize standard form and intercepts to solve linear equations.

Lesson Description:

How to put a linear equation into standard form and then find the x and y intercepts

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Questions answered by this video:
  • How do you put a linear equation in standard form?
  • How do you easily find the x-intercept and y-intercept of a line in standard form?
  • How do you write 4y = 6x + 42 in standard form?
  • What is standard form of a line?
  • What is the x-intercept and y-intercept of 4y - 6x = 42?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson shows how to change a linear equation into standard form. Then, using the standard form of the line, it is easy to find the x-intercept and y-intercept of the line by plugging 0 into y and 0 into x respectively. Each step in solving is shown. The final x-intercept is (-7, 0) and the y-intercept is (0, 10.5).