Aline described by the equation -4x + y = 2 is graphed on a coordinate plane. which equation describes the graph of a line passing through the point (-1, 3) and parallel to the line described by -4x + y = 2?

D

Step-by-step explanation:

We know that parallel lines have equal slopes.

Let's transform the given equation to the form y = mx + b to find the slope (m is the slope). Shown below:

So the slope is 4. Hence the parallel line will have a slope of 4.

Now we can write the equation of the parallel line as :

Since the line goes through (-1,3), we can plug in -1 into x and 3 into y to find out c:

Now we know both m and c, so the equation of the parallel line is:

Answer choice D is right.