So the first thing we want to do is simplify the equation that they have given us and put it into slope intercept form:
y - 1 = 4(x+3)
y - 1 = 4x + 12
y = 4x + 13
Now that we have it in slope intercept form we can find the slope of the line parallel to this. The slope of two parallel lines are the same, so the slope of the line that we are trying to find is the same as the slope of the other line. Now that we know that the slope of the line is 4 we can eliminate choices 1 and 2.
The last thing we need to do is find the y-intercept or b. We can do this by plugging in the values for x and y from the point we are given.
32 = 4(4) + b
32 = 16 + b
16 = b
Now that we know the y-intercept or b we can write the equation of the line in slope intercept form.
