Respuesta :

Answer:

The equation is;

2y = 3x + 6

Step-by-step explanation:

We start by calculating the slope of the line

m= y2-y1/x2-x1

m = (6+3)/(2+ 4) = 9/6 = 3/2

The point slope form would be;

y-y1 = m(x-x1)

Let us use the point (-4,-3)

Thus, we have

y + 3 = 3/2(x+ 4)

2y + 6 = 3x + 12

2y = 3x + 12-6

2y = 3x + 6