Question

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.

Answer 1

Hello,

Answer B

$3x-4y=7==\ \textgreater \ y= \frac{3}{4} *x- \frac{7}{4} ==\ \textgreater \ slope=\frac{3}{4}\\\\ y+2=\dfrac{3}{4}*(x+4)==\ \textgreater \ 4y+8=3x+12==\ \textgreater \ 3x-4y=-4$


is the only solution.

Answer 2

3x - 4y = 7
-4y = -3x + 7
y = 3/4x - 7/4.....the slope here is 3/4. A parallel line will have the same slope.

y - y1 = m(x - x1)
slope(m) = 3/4
(-4,-2)....x1 = -4 and y1 = -2
now we sub
y - (-2) = 3/4(x - (-4) =
y + 2 = 3/4(x + 4) <=== this is one

y + 2 = 3/4(x + 4)
y + 2 = 3/4x + 3
y = 3/4x + 3 - 2
y = 3/4x + 1
-3/4x + y = 1
3x - 4y = -4 <==== this is one