Answer:
9x-y=-5
Explanation:
First, put this equation into slope intercept form (makes it easier)
9x-y=4
subtract 9x from both sides
-y=-9x+4
multiply by -1 on both sides
y=9x-4
Parallel lines have the same slopes, so the second line is y=9x+b (b is a placeholder for the y intercept)
now, find the y intercept
since the line has to go through (-1,-4), plug it into the equation
-4=9(-1)+b
-4=-9+b
5=b
so now the line would be y=9x+5... in slope intercept form. The question asks for the answer to be in standard form.
5 from both sides
y-5=9x
subtract y from both sides
-5=-y+9x
or
9x-y=-5