Representing linear relation

Representing Relation

By Yeshi Lhamo

​Ans: 3, 4,5

Difference: 1(multtiple of 1)

​y=x+2

3-1=2

Ans: 8, 11, 14

Difference=11-8=3

y=3x+5

​First value is 5 more than multiple of 3

​ Ans: 10,14,18

Difference: 14-10=4

y=4x+6

First value is 6 more than multiple of 4

Difference=23-20=3

y=3x+17

Difference=95-100=-5

Y=-5X+105

100-(-5)
=100+5
=+105

Sonam says that the 20th figure in this pattern has 400 small triangles. Do you agree? Explain your thinking.

​Ans: 4,9,16

no common difference therefore we cannot determine using linear equation

Ans:7,11,16

NO common difference

​Difference=+3
y=mx+b
⟹y=3x+3

Differences(multiple of 3)

​Ans:6,9,12

first value is 3 more than first multiple of 3

Find number of dots in figure number 15

​y=3x+2

y.... number of dots
x.....figure number

​when x=15
y= 3*15+2
=45+2
=47

Find the number of white box in figure number 10

y=8,10,12..

​y=2x+3

​when x=10
y=2*10+3
y=23

Find equation of the graph

y=mx+b m........slope
b.........y-intercept

slope=rise /run =(4-2)/(3-2)
=2/1
=2

y.. intercept=-2

​y=2x-2