What is the equation of the line that is parallel to Y= -2/3x+4 and that passes through (-2, -2)

y = -2/3x-10/3

Step-by-step explanation:

Y= -2/3x+4

This is in slope intercept form

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

The slope is -2/3

Parallel lines have the same slope

y = -2/3 x+b

Substitute the point into the equation

-2 = -2/3 (-2) +b

-2 = 4/3 +b

Subtract 4/3 from each side

-6/3 -4/3 = 4/3 -4/3 +b

-10/3 = b

y = -2/3x-10/3