Question

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y = –Three-fourthsx + 1 3x − 4y = −4 4x − 3y = −3 y – 2 = –Three-fourths(x – 4) y + 2 = Three-fourths(x + 4)

Answer 1

Answer:

Step-by-step explanation:

We want a line parallel to 3x − 4y = 7.  Any such line will have an equation of the same form but a different constant.

If the new line is to pass through the point (-4, -2), replace x with -4 and y with -2.  We obtain:

3(-4) − 4(-2) = -12 + 8 = -4.  Thus, the desired new equation is 3x − 4y = -4.

This could also be written as 3x − 4y + 4 = 0.  We could also solve this for y, obtaining:

3x + 4 = 4y, or  y = (3/4)x + 1.

Answer 2

Answer:

B & D

Step-by-step explanation: