Passes through (-6,-1) and is parallel to y=-2/3x+1

y = -2/3x - 5

explanation: parallel slopes are the same, so the new equation would have a slope of -2/3. now, we have to find the y-intercept. to do this, plug in the x and y values for our new equation. we know that the standard form is y=mx+b, where b is the y-intercept.
-1 = -2/3(-6) + b
multiply
-1 = 4 + b
subtract 4 on both sides
-5 = b
so our new equation is
y = -2/3x - 5
you can check by plugging in the x-value (-6)
y= -2/3(-6) - 5
to get
y= -1
which makes this correct