Question

Which equations represent the data in the table?Check all that apply.YO y-6 = -5= (x + 2)-26Oy-2=-(x - 1)03.5Oy+2=(x-6)Oy-1=-(x-2)2Oy-3.5 = -1.25x4.-1.5

Answer 1

To solve this we have to set each value of x in the table in the function and see if we obtain the same y values:

y-6=-5/4 (x+2)

y= -5/4 (x+2)+6

x=-2

y= -5/4 (-2+2)+6

y=6

x=0

y= -5/4 (0+2)+6

y= -5/4 (2)+6

y= -5/2+6

y= 3.5

X=2

y= -5/4 (2+2)+6

y= -5/4 (4)+6

y= 1

x=4

y= -5/4 (4+2)+6

y= -5/4 (6)+6

y= -1.5

The first equation represents the data in the table

y-2=-5/4(x-1)

y= -5/4(x-1)+2

x=-2

y= -5/4(-2-1)+2

y=5.75 (it's not 6)

The second equation doesn't represent the data in the table

y+2=-5/4 (x-6)

y= -5/4 (x-6)-2

x=-2

y= -5/4 (-2-6)-2

y=8

The third equation doesn't represent the data in the table.

y-1= -5/4 (x-2)

y= -5/4(x-2)+1

x=-2

y= -5/4(-2-2)+1

y= 6

x=0

y= -5/4(0-2)+1

y= 3.5

x=2

y= -5/4(2-2)+1

y=1

x=4

y= -5/4(4-2)+1

y= -1.5

The fourth equation represents the data in the table

y-3.5 =-1.25x

y=-1.25x+3.5

x=-2

y=-1.25(-2)+3.5

y= 6

x=0

y=-1.25(0)+3.5

y=3.5

x=2

y=-1.25(2)+3.5

y=1

x=4

y=-1.25(4)+3.5

y= -1.5

The fifth equation represents the data in the table