Eureka Math Grade 5 Module 6 Lesson 9 Answer Key

Engage NY Eureka Math 5th Grade Module 6 Lesson 9 Answer Key

Eureka Math Grade 5 Module 6 Lesson 9 Problem Set Answer Key

Question 1.
Complete the table for the given rules.

Line a
Rule: y is 1 more than x

Line b
Rule: y is 4 more than x

a. Construct each line on the coordinate plane above.
b. Compare and contrast these lines.
c. Based on the patterns you see, predict what line c, whose rule is y is 7 more than x, would look like. Draw your prediction on the plane above.
Answer:
a.
Line a
Rule: y is 1 more than x
y = x + 1

Line b
Rule: y is 4 more than x
y = x + 4

b. Lines a and b are parallel lines .
c. The line c
rule: y is 7 more than x
y = x + 7

Even line c is parallel to line a and line b .

Question 2.
Complete the table for the given rules.

Line e
Rule: y is twice as much as x

Line f
Rule: y is half as much as x

a. Construct each line on the coordinate plane above.
b. Compare and contrast these lines.
c. Based on the patterns you see, predict what line g, whose rule is y is 4 times as much as x, would look like. Draw your prediction in the plane above.
Answer:
a.
Line e
Rule: y is twice as much as x
y = 2x

Line f
Rule: y is half as much as x
y = x/2

b. Both the lines e and f intersect at (0, 0)
c. line g
rule: y is 4 times as much as x
y = 4x

All 3 lines intersect at (0, 0)

Eureka Math Grade 5 Module 6 Lesson 9 Exit Ticket Answer Key

Complete the table for the given rules. Then, construct lines l and m on the coordinate plane.

Line l
Rule: y is 5 more than x

Line m
Rule: y is 5 times as much as x

Answer:
Line l
Rule: y is 5 more than x
y = x + 5

Line m
Rule: y is 5 times as much as x
y = 5x

Lines l and m are shown in the above graph .

Eureka Math Grade 5 Module 6 Lesson 9 Homework Answer Key

Question 1.
Complete the table for the given rules.

Line a
Rule: y is 1 less than x

Line b
Rule: y is 5 less than x

a. Construct each line on the coordinate plane.
b. Compare and contrast these lines.
c. Based on the patterns you see, predict what line c, whose rule is y is 7 less than x, would look like. Draw your prediction on the plane above.
Answer:
a.
Line a
Rule: y is 1 less than x
y = x – 1

Line b
Rule: y is 5 less than x
y = x – 5

b. Both the lines are a and b are parallel lines.
c.
Line c
Rule: y is 7 less than x
y = x – 7

All the 3 lines are parallel lines  and are shown in above graph .

Question 2.
Complete the table for the given rules.

Line e
Rule: y is 3 times as much as x

Line f
Rule: y is a third as much as x

a. Construct each line on the coordinate plane.
b. Compare and contrast these lines.
c. Based on the patterns you see, predict what line g, whose rule is y is 4 times as much as x, and line h, whose rule is y is one-fourth as much as x, would look like. Draw your prediction in the plane above.
Answer:
a.
Line e
Rule: y is 3 times as much as x
y = 3x

Line f
Rule: y is a third as much as x

b. Both the lines e and f intersect at (0, 0)
c.
Line g
Rule: y is 4 times as much as x
y = 4x

Line h
Rule: y is one-fourth as much as x
y = x/4

All the 4 lines intersect at (0, 0 ) and is shown in the above graph .