Question

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

Answer 1

Put the equation of the line, 3x – 2y = –6, in slope-intercept form and find the slope of the line.
Parallel line will have the same slope.
The equation of a line passing through (4,2) is:
(y-2) = m(x-4). plug m with slope found earlier.

Answer 2

3x – 2y = –6
-3x -3x

-2y = -3x - 6
/-2 /-2 /-2

y = 3/2x +3

M = 3/2

Now plug (4,2) to, \[y-y1=m(x-x1)\]