Respuesta :

Answer:

[tex]y = -\frac{2}{3}x + 6[/tex]

Step-by-step explanation:

y = mx + b is the formula for slope intercept. What we can do is plug in the slope and coordinate points to find the y-intercept.

4 = [tex]-\frac{2}{3}[/tex](3) + b

-2/3 times 3 is -2 so you can fill that in place.

4 = -2 + b

+2   +2    

6 = b

So the y-intercept is 6 now we can complete the equation.

[tex]y = -\frac{2}{3}x + 6[/tex]

Hope that helps and have a great day!