Question

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

Answer 1

ANSWER

$y = 3x - 3$

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;

$m = \frac{y_2-y_1}{x_2-x_1}$

$m = \frac{21 - 15}{8 - 6} = \frac{6}{2} = 3$

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,

$y = 3x -3$