## Eureka Math Lesson 6 Homework 5.1 Answer Key Introduction:

Mathematics is a crucial subject that requires knowledge, practice, and perseverance to excel. From Algebra to Calculus, students need to master each topic step by step to achieve academic success. Eureka Math is a highly regarded curriculum that helps students understand math concepts more profoundly and systematically. Eureka math lesson 6 homework 5.1 is a famous topic that challenges many students to achieve good grades. In this blog, we will discuss the answer key to eureka math lesson 6 homework 5.1, giving students a step-by-step guide on how to answer each question correctly.

### Blog Body:

To begin with, eureka math lesson 6 homework 5.1 is a continuation of the previous lessons, which include ratios, proportions, and percentages. In this lesson, students will learn how to locate ratios on a coordinate plane by plotting points. They will also learn how to use the distance formula to calculate the distance between points. The lesson comprises five exercises that test students’ understanding of these topics.

Exercise 1 requires students to plot points on the coordinate plane and then apply the distance formula to find the distance between them. Exercise 2 is similar to exercise 1, but students will be given two points instead of one. Exercise 3 requires students to plot points on the coordinate plane and then identify the ratio of the distances between two points. Exercises 4 and 5 require students to identify the ratio of the distances between three points.

The answer key to eureka math lesson 6 homework 5.1 is essential for students to check if their answers are correct. In exercise 1, students need to plot two points (2,7) and (-2,1) on a coordinate plane. Then, they need to calculate the distance between them by applying the distance formula. The correct answer is √40, which simplifies to 2√10. The same process applies to exercise 2, but students will need to calculate the distance between two points to identify the ratio.

In exercise 3, students will need to identify the ratio between two distances on a coordinate plane. Specifically, they need to identify the ratio between the distance between (-3,-1) and (6,9) and the distance between (0,3) and (-6,5). The correct answer is 3:4. In exercises 4 and 5, students will need to identify the ratio of distances between three points.

### Conclusion:

In conclusion, eureka math lesson 6 homework 5.1 is a challenging topic that tests students’ knowledge of ratios, proportions, distance formula, and plotting points on a coordinate plane. The answer key to eureka math lesson 6 homework 5.1 provides students with a comprehensive guide on how to answer each question correctly. By following the steps discussed in the blog above, students can master the eureka math lesson 6 homework 5.1. We hope that this blog has been informative and engaging for students who are struggling with eureka math lesson 6 homework 5.1.