Which of the following equations defines a line that is parallel to the line y=-4/3x-4 and passes through the point (3,-1)

d

Step-by-step explanation:

given that your slop is -4/3, plug the (x,y) point in to the equation of y = -4x/3 +b

-1 = -4 + b , b = 3

y = -4x/3 + 3

Step-by-step explanation:

The given line is

Now, if the new line is parallel to the given one, that means it must have the same slope.

We also know that the new line passes through point (3,-1).

Then, we use the point-slope formula to find the equation of the new line:

Therefore, the line that passes through (3,-1) and it's parallel to the given line is: .

The image attached show these parallel lines.

351°f

step-by-step explanation: