Answer:
y+2 = 2/3(x+1)
y= 2/3x - 4/3
Step-by-step explanation:
If we want a line parallel to y=2/3x+7, it will have the same slope
m = 2/3
We have a point (-1,-2), so we can use point slope form
y-y1 = m(x-x1)
y--2 = 2/3(x--1)
y+2 = 2/3(x+1)
If we want the line in slope intercept form, distribute the slope
y+2 = 2/3 x +2/3
Subtract 2 from each side
y+2-2=2/3x +2/3-2
y = 2/3x +2/3 - 6/3
y= 2/3x - 4/3