Respuesta :
Hi there! The first answer is correct.
Let's first set up the equation in general form
ax + by = c
The line is parallel to x + 3y = 4, and therefore the formula is x + 3y = c.
The line passes through the point (3, 3) so we can plug in those values into the formula.
3 + 3 × 3 = c
3 + 9 = c
12 = c
c = 12
Now we have found the equation of our formula:
x + 3y = 12
Rewrite the formula.
First subtract x from both sides.
3y = -x + 12
Divide both sides by 3.
y = -1/3x + 4
Therefore, the first answer is correct.
Let's first set up the equation in general form
ax + by = c
The line is parallel to x + 3y = 4, and therefore the formula is x + 3y = c.
The line passes through the point (3, 3) so we can plug in those values into the formula.
3 + 3 × 3 = c
3 + 9 = c
12 = c
c = 12
Now we have found the equation of our formula:
x + 3y = 12
Rewrite the formula.
First subtract x from both sides.
3y = -x + 12
Divide both sides by 3.
y = -1/3x + 4
Therefore, the first answer is correct.
[tex]k:x+3y=4\ \ \ |-x\\\\3y=-x+4\ \ \ |:3\\\\y=-\dfrac{1}{3}x+\dfrac{4}{3}\\\\l:y=mx+b\\\\l\ ||\ k\iff m=-\dfrac{1}{3}\\\\\text{therefore correct answer is}\ y=-\dfrac{1}{3}x+4[/tex]