Answer:
y+2=3/4(x+4) and 3x-4y=-4
Explanation:
The equation given is in standard form right now. Let's change it to slope intercept form to make it easier
3x-4y=7
subtract 3x from both sides
-4y=-3x+7
divide by -4
y=3/4x-7/4
Parallel Lines have the same slope, but a different y intercept.
We know so far:
slope is 3/4
point is (-4,-2)
Let's plug it into slope point form (y-y1=m(x-x1) (m is slope), looking at your options
y--2=3/4(x--4)
or
y+2=3/4(x+4)
One option down!
We can simplify the equation
y+2=3/4(x+4)
multiply by 3/4
y+2=3/4x+3
subtract 2
y=3/4x+1
Looks like there aren't any options, so let's turn it back into standard form
Subtract 1 from both sides
y-1=3/4x
subtract y from both sides
-1=3/4x-y
multiply everything by 4 to clear the fraction (standard form can't have any fractions or decimals)
-4=3x-4y
flip it so it's
3x-4y=-4
Hope this helps!