In Example 5, change the + before 2y to −.

Data from Example 5

Find the general form of the equation of the line parallel to the line 3x + 2y − 6 = 0 and that passes through the point (−1, 2). Because the line whose equation we want is parallel to the line 3x + 2y − 6 = 0, it has the same slope. Thus, writing 3x + 2y − 6 = 0 in slope-intercept form,

Because the slope of 3x + 2y − 6 = 0 is −3/2, the slope of the required line is also −3/2. Using m = −3/2, the point (−1, 2), and the point-slope form, we have

This is the general form of the equation. Both lines are shown in Fig. 21.24.

2y = -3x + 6 y =-/x+3 solving for y