Line through point in quadrant 2, parallel to another line: Find the general equation of a line through (-2,5) and parallel to the line 3x - y + 4 = 0.

We need the slope of the given line, and can solve for the slope-intercept form:

, so the slope is 3.

The parallel line will have the same slope. We can use the point_slope form to find it:

, or in the general form we have

Test Problem: Find the general equation of a line through (-4,2) and parallel to the line .

a) 2x - y + 10 = 0

b) x - 2y + 8 = 0

c) x - 2y - 10 = 0

d) x + 2y = 0