Standard Form To Slope Intercept Form Worksheet: A Comprehensive Guide
Introduction
Are you struggling with converting equations from standard form to slope intercept form? If so, you have come to the right place! This guide will help you learn the basics of converting equations from standard form to slope intercept form, and even provide you with a worksheet to test your skills. With this guide and a little practice, you will be able to master this skill in no time!
What is Standard Form?
Standard form is a way of writing a linear equation in which the equation is written in the form Ax + By = C. In this form, A and B are constants, while x and y are variables. For example, the equation 2x + 5y = 10 is written in standard form.
What is Slope Intercept Form?
Slope intercept form is a way of writing a linear equation in which the equation is written in the form y = mx + b. In this form, m is the slope of the line, while b is the y-intercept of the line. For example, the equation y = 2x + 5 is written in slope intercept form.
How To Convert From Standard Form To Slope Intercept Form?
The process of converting from standard form to slope intercept form is simple. First, you will need to isolate the x variable. To do this, divide both sides of the equation by A. Then, you will need to subtract B times x from both sides of the equation. Finally, you will need to divide both sides of the equation by B. This will leave you with the equation in slope intercept form.
Standard Form To Slope Intercept Form Worksheet
By now, you should have a good understanding of how to convert equations from standard form to slope intercept form. To test your skills, try solving the following equations using the steps outlined above.
1. 2x + 5y = 10
2. 3x + 7y = 15
3. 4x + 9y = 18
4. 5x + 11y = 22
5. 6x + 13y = 26
Conclusion
By now, you should have a good understanding of how to convert equations from standard form to slope intercept form. With practice and some patience, you will be able to easily convert equations from standard form to slope intercept form. Good luck!
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