Which of the following lines is parallel to the line given by the equation 4y = 6x – 6?

Question

Accepted Answer

Divide both sides of the equation by 4 to write the equation in slope-intercept form (y = mx + b); 4y = 6x – 6 is equivalent to y = 3 ⁄ 2 x – 3 ⁄ 2 . The slope of this line is the coefficient of x, which is 3 ⁄ 2 . Parallel lines have identical slopes. Only y = 3 ⁄ 2 x + 3 has a slope of 3 ⁄ 2 .

Want a deeper, personalized explanation?

Related questions