Question

Select the correct answer.

Identify the system of linear equations from the tables of values given below.
O A. y = -12- 2
y = −2+1
Ов у =
•
U
D.
S
y = =+ 2
v =
= +1
P
z-2
-=+1
"
11
HH
++
21
X
0
-4
6
-6
y
2
0
51
-1
X
0
-2
-4
2
y
1
0
-1
2

Answer 1

The equations of the system are y = x/2 + 2 and

y = x/2 + 1.

How to find equation of a line from table of values

From table 1

Using points (0,2) and (-6,-1)

Slope = change in y/change in x

m = y₂ - y₁/x₂ - x1₁

m = -1-2/-6-0

m = -3/-6

= 1/2

Using slope -point form

y-y₁ = m(x-x₁)

Substitute point (-6,-1(

y+1 = 1/2(x+6)

y + 1 = x/2 +3

y = x/2 + 2

From table 2

Using points (0,1) and (2,2)

Slope = change in y/change in x

m = y₂ - y₁/x₂ - x₁

m = 2-1/2-0

m = 1/2

= 1/2

Using slope -point form

y-y₁ = m(x-x₁)

Substitute point (2,2)

y-2 = 1/2(x-2)

y -2 = x/2 -1

y = x/2 + 1