Question

A line has the equation 3x − 4y = 1.

Choose the equation of a line that is parallel to the given line.

y = Negative four-thirds x + 5

y = Negative three-fourthsx + 5

y = Three-fourthsx + 5

y = Four-thirdsx + 5

Answer 1

First put 3x − 4y = 1 into slope-intercept form: 4y = 3x − 1, so y = (3/4)x − 1/4. The slope is 3/4, so the parallel line is

y = Three-fourths x + 5.