Respuesta :

Answer:

y = 2/3x +4

Step-by-step explanation:

The y intercept is where the line crosses the y axis

y intercept =4

We can find the slope using two points on the line

(0,4) and (3,6)

m = (y2-y1)/(x2-x1)

   = (6-4)/(3-0)

   = 2/3

The equation of a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 2/3x +4

Answer:

y = 2/3x +4

Step-by-step explanation:

let the 2 unknown be a and b

X = 0, Y = 4 -> 4 = 0*a+b -> b = 4

Y =0, X = -6  -> 0 = -6*a + 4 -> a = -4/-6 = 2/3

-> y = 2/3x +4