Question

Please answer question from photo

Answer 1

`y=-1`

Explanation:

We have been given an equation
`y=-2x+1`. We are asked to complete the given table using our given equation.

We can see that our given table has two columns namely x and y.

To find the value of y for given values of x, we need to substitute the given x value in our equation.

Substituting
`x=0` in our equation we will get,

`y=-2*0+1`

`y=0+1`

`y=1`

Therefore, the value of y for first row is 1 and ordered pair will be (0,1).

Substituting
`x=-3` in our equation we will get,

`y=-2*-3+1`

`y=6+1`

`y=7`

Therefore, the value of y for 2nd row is 7 and ordered pair will be (-3,7).

Substituting
`x=1` in our equation we will get,

`y=-2*1+1`

`y=-2+1`

`y=-1`

Therefore, the value of y for 3rd row is
`-1` and ordered pair will be (1,-1).

Answer 2

We are given the equation of a line

y = -2x + 1

We have to find the value of y at three different values of x i.e. at x =0, -3 and 1

In order to find the value of y at any given x, simply replace x by that number.

So, for x=0, we will replace x by 0 to find the value of y. So y will be:
y = -2(0) + 1
y = 1
This can be expressed as an ordered pair as (0,1)

Similarly for x=-3, we get:
y = -2(-3) + 1 = 6 + 1
y = 7
This can be expressed as an ordered pair as (-3, 7)

And, finally for x=1, we get:
y= -2(1) + 1 = -2 + 1
y= -1
This can be expressed as an ordered pair as (-1, -1)