Question

What is the equation of the line that passes through (4, 2) and is parallel to 3x – 2y = –6?

Answer 1

3x - 2y = -6
2y - 6 = 3x
2y = 3x + 6
y = (3/2)x + 3
So, the y-intercept is 3.

Answer 2

Get your equation in slope-intercept form, first.

Answer 3

parallel lines only differ at most by a constant

Answer 4

the equation of the line that passes through (4, 2) and is parallel to 3x – 2y = –6 is:

3x – 2y = k; such that k is determined by the stated point