Question

HeLP with this question please put the answer on a point

Answer 1

`x = -1`

`y = 3`

Explanation:

Given

The attached table

Required

Fill in the blanks

First, we need to calculate the slope

`m = (y_2-y_1)/(x_2-x_1)`

Where:

`(x_1,y_1) = (1/2,1)`

`(x_2,y_2) = (3,-9)`

So, we have:

`m = (-9-1)/(3-1/2)`

`m = (-10)/(3-0.5)`

`m = (-10)/(2.5)`

`m = -4`

Next, we calculate the equation:

`y - y_2 = m(x - x_2)`

This gives:

`y - (-9) = -4(x - 3)`

`y +9 = -4(x - 3)`

`y +9 = -4x +12`

Make y the subject:

`y = -4x +12-9`

`y = -4x +3`

So,

When y = 7:

We have:

`y = -4x +3`

`7 = -4x +3`

Collect Like Terms

`4x = 3 - 7`

`4x = -4`

Divide through by 4

`x = -1`

When x = 0, we have:

`y = -4x +3`

`y = -4 * 0 + 3`

`y = 0 + 3`

`y = 3`