Question

As

Complete the equation describing how x
and y are related.
ху
-2
-1
0
1
2
3
-8
-5
-2
1
4
y = [? ]x +
Enter the answer that
belongs in [?].

Answer 1

`y = 3x - 2`

Explanation:

The equation that describes how x

and y are related is given in the slope-intercept form,
`y = mx + b`

Where, m = slope, and b = y-intercept.

Let's find the value of m and b using the table of values given.

Using two of the pairs given, (-2, -8) and (-1, -5),

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (-5 -(-8))/(-1 -(-2)) = (3)/(1) = 3`

Substitute x = -2, y = -8, and m = 3 in
`y = mx + b` to find the value of b.

Thus:

`-8 = (3)(-2) + b`

`-8 = -6 + b`

Add 6 to both sides

`-8 + 6 = b`

`-2 = b`

Substitute m = 3 and b = -2 in
`y = mx + b`.

The equation that describes how x

and y are related would be:

`y = 3x - 2`