Question

Which equation represents the data in the table? check all that apply

Answer 1

A, D, E

Explanation:

Answer 2

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

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

`y-3.5=-1.25x`

Explanation:

step 1

Find the slope of the linear equation

with the points (-2,6) and (2,1)

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute

`m=(1-6)/(2+2)`

`m=-(5)/(4)`

step 2

Find the equation of the line into point slope form

The equation of the line in slope point form is equal to

`y-y1=m(x-x1)`

we have

`m=-(5)/(4)`

1) with the point (-2,6)

substitute

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

2) with the point (2,1)

substitute

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

3) with the point (0,3.5)

substitute

`y-3.5=-(5)/(4)(x-0)`

`y-3.5=-(5)/(4)x` ------->
`y-3.5=-1.25x`