When working with linear equations, one common form that is often used is the slope-intercept form, which is written as y = mx + b. This form makes it easy to identify the slope of the line and the y-intercept. However, sometimes equations are given in a different form and need to be rewritten in slope-intercept form. This process can be easily accomplished by isolating the y variable on one side of the equation.
Understanding how to rewrite equations in slope-intercept form is an essential skill in algebra. By converting equations into this form, it becomes easier to graph the line and analyze its properties. This worksheet will provide practice problems to help reinforce this concept and improve your skills in working with linear equations.
Rewriting Equations in Slope-Intercept Form Worksheet
1. Rewrite the following equation in slope-intercept form: 2x – 3y = 6.
To rewrite this equation in slope-intercept form, we need to isolate the y variable. First, subtract 2x from both sides to get -3y = -2x + 6. Then, divide by -3 to get y = 2/3x – 2.
2. Convert the equation 4y + 5x = 20 into slope-intercept form.
To rewrite this equation, subtract 5x from both sides to get 4y = -5x + 20. Then, divide by 4 to get y = -5/4x + 5.
3. Practice rewriting equations in slope-intercept form by solving the following problems: 3x + 2y = 12, y – 4x = 8, and 5y = 10x – 15.
By following the steps outlined above, you can easily convert equations into slope-intercept form. This process not only helps in graphing lines but also in understanding the relationship between the slope and y-intercept of a linear equation. With practice, you will become more proficient in rewriting equations and solving problems involving linear functions.
Overall, mastering the skill of rewriting equations in slope-intercept form is crucial in algebra and helps in better understanding linear relationships. By practicing with worksheets and working through various examples, you can enhance your proficiency in this area and become more confident in solving problems involving linear equations.