Question

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

Answer 1

3x − 4y = 7
4y = 3x - 7
  y = 3/4 x - 7/4 slope = 3/4

parallel lines, slope is the same so slope = 3/4
passes through the point (−4, −2)
equation
y + 2 = 3/4 (x + 4)
4y + 8 = 3x + 12
3x - 4y = -4

answer
3x − 4y = −4