The problem requires to show the work, and provide justification statements that are mathematically correct explaining the reasoning.

Step-by-step explanation:

From the table you have points (-1, 3) and (2, 9)

general equation

y-y1 = m (x-x1)

the slope m= (y2-y1) / (x2-x1) = 9-3/ 2+1 = 6/3 =2

so the equation shhould be

y+1=2(x-3)

Sydney equation is wrong because her slope is wrong 1/2

step-by-step explanation:

given perimeter: 28cm

length: 9cm

atp,

2(l+w)=p of the reactangle

2(9+x)=28

18+2x=28

2x=28-18

x=10/2

x=5

therefore width is 5 cm