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.
Answer:
| 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.
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) |
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) ______
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.
| 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) |
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.
| 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) |
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.
| 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) |
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) ______
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 .