Question

Complete the equation describing how x and y are related.

Answer 1

y=3x-2

Explanation:

Every relatio is in the form y = mx+c

x1,y1 x2,y2

(-2,-8) (-1,-5)

`m = \frac{ {y}{2} - {y}{1} }{ {x}{2} - {x}{1} }`

`( - 5 - (- 8 ))/(- 1 - ( - 2)) = (3)/(1) = 3`

Now since we have found m(slope/gradient), we pick any one of the coordinates and substitute into the formula along with the gradient.

Let's pick (-2,-8)

-8=3(-2)+c

-8=-6+c

-8+6=c

-2=c

=>c=-2

So the equation becomes

y=(3)x + (-2)