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

Option B and E

Step-by-step explanation:

A line is given as 3x - 4y = 7

We have to find the equation of a line parralel to the given line which passes through point (-4, -2).

Let the equation is y = mx + c

Line parallel to 3x - 4y = 7 will have same slope

3x - 4y = 7

-4y = 7 - 3x

4y = 3x - 7

y = (3x - 7 ) ≈ x -

So slope of the line will be m =

Since the given line passes through (-4, -2)

So we put the values in y = mx + c to get the value of c.

-2 = (-4 ) + c

-2 = -30 +c

c = 3 - 2 = 1

Therefore, equation will be

y = x + 1 ----------(1)

We further solve equation (1)

4y = 3x + 4

3x - 4y = -4 ---Option B

By solving the equation (1) in other way

y + 2 = x + 1 + 2

x + 3

y + 2 = (x+4)  --Option E

Option B and E are the answers.