Engage NY Eureka Math 5th Grade Module 6 Lesson 7 Answer Key

Eureka Math Grade 5 Module 6 Lesson 7 Problem Set Answer Key

Question 1.
Complete the chart. Then, plot the points on the coordinate plane below.
Engage NY Math Grade 5 Module 6 Lesson 7 Problem Set Answer Key 1

x y

(x, y)

0 1 (0, 1)
2 3
4 5
6 7

a. Use a straightedge to draw a line connecting these points.
b. Write a rule showing the relationship between the x- and y-coordinates of points on the line.
c. Name 2 other points that are on this line.
Answer:

x y

(x, y)

0 1 (0, 1)
2 3 (2, 3)
4 5 (4, 5)
6 7 (6, 7)

a.
Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-7-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-7-Problem-Set-Answer-Key-Question-1
Points are plotted and all points are connected with a straight line .
b. A rule showing the relationship between the x- and y-coordinates of points on the line is the difference between x and y coordinates of all points is 1 .
The x-coordinate and y-coordinate both are increased by 2 with respective to the x and y coordinates .
c. The other 2 points that are on the line are ( 3, 4) ( 5, 6)

Question 2.
Complete the chart. Then, plot the points on the coordinate plane below.
Engage NY Math Grade 5 Module 6 Lesson 7 Problem Set Answer Key 2

x y

(x, y)

\(\frac{1}{2}\) 1
1 2
1\(\frac{1}{2}\) 3
2 4

a. Use a straightedge to draw a line connecting these points.
b. Write a rule showing the relationship between the x- and y-coordinates.
c. Name 2 other points that are on this line.
Answer:
a.

x y

(x, y)

\(\frac{1}{2}\) 1 (\(\frac{1}{2}\) , 1)
1 2 (1, 2)
1\(\frac{1}{2}\) 3 (1\(\frac{1}{2}\), 3)
2 4 (2, 4)

Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-7-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-7-Problem-Set-Answer-Key-Question-2

b. A rule showing the relationship between the x- and y-coordinates of points on the line is Double the x coordinate is the y coordinates .
c. The 2 other points that are on this line are (\(\frac{3}{4}\), 1 \(\frac{3}{4}\)) and (1\(\frac{1}{4}\), 2\(\frac{1}{2}\))

Question 3.
Use the coordinate plane below to answer the following questions.
Engage NY Math Grade 5 Module 6 Lesson 7 Problem Set Answer Key 3
a. Give the coordinates for 3 points that are on line a. ________ ________ ________
b. Write a rule that describes the relationship between the x- and y-coordinates for the points on line a.
c. What do you notice about the y-coordinates of every point on line b?
d. Fill in the missing coordinates for points on line d.
(12, _____) (6, _____) (_____, 24) (28, _____) (_____, 28)
e. For any point on line c, the x-coordinate is _______.
f. Each of the points lies on at least 1 of the lines shown in the plane on the previous page. Identify a line that contains each of the following points.
i. (7, 7) a
ii. (14, 8) ______
iii. (5, 10) ______
iv. (0, 17) ______
v. (15.3, 9.3) ______
vi. (20, 40) ______
Answer:
a. The coordinates for 3 points that are on line a. (4, 4) ( 6, 6) and (8 , 8 )
b. A rule that describes the relationship between the x- and y-coordinates for the points on line a is Both the x          and y coordinates are equal.
c. The y-coordinates of every point on line b are equal that means the y – coordinate for all x-coordinates is 17 .
d. The missing coordinates for points on line d.
(12, 6 ) (6, 0 ) (30 , 24) (28, 30 ) (36 , 28)
e. For any point on line c, the x-coordinate is 5 .
f.
i. (7, 7)- a
ii. (14, 8) – d
iii. (5, 10) – c or e
iv. (0, 17) – b
v. (15.3, 9.3) – d
vi. (20, 40) – e

Eureka Math Grade 5 Module 6 Lesson 7 Exit Ticket Answer Key

Complete the chart. Then, plot the points on the coordinate plane.
Eureka Math 5th Grade Module 6 Lesson 7 Exit Ticket Answer Key 1

x y

(x, y)

0 4
2 6
3 7
7 11

Question 1.
Use a straightedge to draw a line connecting these points.
Answer:

x y

(x, y)

0 4 (0, 4)
2 6 (2, 6)
3 7 (3, 7)
7 11 (7, 11)

Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-7-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-7-Exit-Ticket-Answer-Key-Question-1

Question 2.
Write a rule to show the relationship between the x- and y-coordinates for points on the line.
Answer:
A rule to show the relationship between the x- and y-coordinates for points on the line is the difference between x and y coordinate is 4

Question 3.
Name two other points that are also on this line. __________ __________
Answer:
The two other points that are also on this line are (1, 5) and (4, 8)

Eureka Math Grade 5 Module 6 Lesson 7 Homework Answer Key

Question 1.
Complete the chart. Then, plot the points on the coordinate plane.
Eureka Math Grade 5 Module 6 Lesson 7 Homework Answer Key 1

x y

(x, y)

2 0
3\(\frac{1}{2}\) 1\(\frac{1}{2}\)
4\(\frac{1}{2}\) 2 \(\frac{1}{2}\)
6 4

a. Use a straightedge to draw a line connecting these points.
b. Write a rule showing the relationship between the x- and y-coordinates of points on this line.
c. Name two other points that are also on this line.
Answer:
a.

x y

(x, y)

2 0 (2, 0)
3\(\frac{1}{2}\) 1\(\frac{1}{2}\) (3\(\frac{1}{2}\), 1\(\frac{1}{2}\))
4\(\frac{1}{2}\) 2 \(\frac{1}{2}\) (4\(\frac{1}{2}\), 2\(\frac{1}{2}\))
6 4 (6, 4)

Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-7-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-7-Homework-Answer-Key-Question-1

b. A rule showing the relationship between the x- and y-coordinates of points on this line is The difference                between x coordinate and y coordinate is 2
c . The two other points that are also on this line are (3, 1) and ( 4, 2) .

Question 2.
Complete the chart. Then, plot the points on the coordinate plane.
Eureka Math Grade 5 Module 6 Lesson 7 Homework Answer Key 2Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-7-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-7-Homework-Answer-Key-Question-2

x y

(x, y)

0 0
\(\frac{1}{4}\) \(\frac{3}{4}\)
\(\frac{1}{2}\) 1 \(\frac{1}{2}\)
1 3

a. Use a straightedge to draw a line connecting these points.
b. Write a rule showing the relationship between the x- and y-coordinates for points on the line.
c. Name two other points that are also on this line. _____________ _____________
Answer:
a.

x y

(x, y)

0 0 (0,0)
\(\frac{1}{4}\) \(\frac{3}{4}\) (\(\frac{1}{4}\),  \(\frac{3}{4}\))
\(\frac{1}{2}\) 1 \(\frac{1}{2}\) (\(\frac{1}{2}\), 1\(\frac{1}{2}\))
1 3 (1, 3)

Engage-NY-Eureka-Math-5th-Grade-Module-6-Lesson-7-Answer-Key-Eureka-Math-Grade-5-Module-6-Lesson-7-Homework-Answer-Key-Question-2

b. A rule showing the relationship between the x- and y-coordinates for points on the line is Increasing from 0 to (\(\frac{1}{2}\) , (\(\frac{1}{2}\) to 1 and 1 to 2 increasing by double the x coordinate .
c. The two other points that are also on this line are

Question 3.
Use the coordinate plane to answer the following questions.
Eureka Math Grade 5 Module 6 Lesson 7 Homework Answer Key 3
a. For any point on line m, the x-coordinate is _______.
b. Give the coordinates for 3 points that are on line n.
c. Write a rule that describes the relationship between the x- and y-coordinates on line n.
d. Give the coordinates for 3 points that are on line q.
e. Write a rule that describes the relationship between the x- and y-coordinates on line q.
f. Identify a line on which each of these points lie.
i. (10, 3.2) ______
ii. (12.4, 18.4) ______
iii. (6.45, 12) ______
iv. (14, 7) ______
Answer:
a. For any point on line m, the x-coordinate is 10 .
b. The coordinates for 3 points that are on line n are ( 2, 8) , ( 4, 10) and (6, 12)
c. A rule that describes the relationship between the x- and y-coordinates on line n is the difference between the       all the x-coordinates and respective y – coordinates is 6 .
d. The coordinates for 3 points that are on line q are ( 4, 2) , (8, 4 ) and ( 12, 6).
e. A rule that describes the relationship between the x- and y-coordinates on line q is the differences is 2 multiple      2, 4, 6 . . . . . .
f. A line on which each of these points lie.
i. (10, 3.2) is m line
ii. (12.4, 18.4) is n line
iii. (6.45, 12) is l line
iv. (14, 7) is q line .

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