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

Answers: 3x − 4y = −4 and y + 2 = Three-fourths(x + 4).

Reason: 3x − 4y = 7 has slope 3/4. The point-slope form through (−4, −2) is y + 2 = (3/4)(x + 4). Converting gives 3x − 4y = −4.