Standard Form of a Line
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.
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.
How to put a linear equation into standard form and then find the x and y intercepts
I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exactly how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework. I post all of my videos on YouTube, but if you are looking for other ways to interact with me and my videos you can follow me on the following pages through My Blog, Twitter, or Facebook.
- 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
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).
