Question

Help me with this if anyone can! Please and thank you

Answer 1

`y = 3x - 3`

Step-by-step explanation

Let

`y = mx + c`

be the equation.

We can choose any two ordered pairs to determine the equation of the relation.

`(6,15) \: and \: (8,21)`

We find m using the formula;

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

`m = (21 - 15)/(8 - 6) = (6)/(2) = 3`

The equation becomes

`y = 3x + c`

When x=6, y=15.

This implies that,

`15 = 3(6) + c`

`15= 18 + c`

`15 - 18= c`

`c = -3`

The equation of the relation is therefore,

`y = 3x -3`