## 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.

 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.

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

a.

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.

 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.
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)

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.

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) ______
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 xÂ  Â  Â  Â  Â  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.

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

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

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

Question 2.
Write a rule to show the relationship between the x- and y-coordinates for points on the line.
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. __________ __________
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.

 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.
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)

b. A rule showing the relationship between the x- and y-coordinates of points on this line is The differenceÂ  Â  Â  Â  Â  Â  Â  Â  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.

 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. _____________ _____________
a.

 x y (x, y) 0 0 (0,0) $$\frac{1}{4}$$ $$\frac{3}{4}$$ ($$\frac{1}{4}$$,Â  $$\frac{3}{4}$$) $$\frac{1}{2}$$ 1 $$\frac{1}{2}$$ ($$\frac{1}{2}$$, 1$$\frac{1}{2}$$) 1 3 (1, 3)

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.

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) ______