Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? check all that apply. a. y = –x + 1 b. 3x − 4y = −4 c. 4x − 3y = −3 d. y – 2 = –(x – 4) e. y + 2 = (x + 4)

First, we find the slope of the given line.

3x − 4y = 7

-4y = -3x + 7

y = (3/4)x - 7/4

The slope of the given line is 3/4.
The slope of the parallel line is also 3/4.

Now we need the equation of the line that has slope 3/4 and passes through point (-4, -2),

We use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)     < check option E. Is the fraction 3/4 not there?

y + 2 = (3/4)x + 3

y = (3/4)x + 1

4y = 3x + 4

3x - 4y = -4    < this is choice B.