Determine the line through points in quadrants 3 and 1: For the line through (-1,-3) and (3,5), determine the equation in the general form Ax + By + C = 0.

We can use the 2 points to determine the slope of the line through them:

Now we use the point-slope form of the equation of a line:

, or

Now we solve for the general form:

Test Problem: For the line through (-4,-1) and (4,3), determine the equation in the general form Ax + By + C = 0.

a) 2x - y - 2 = 0

b) x - 2y + 5 = 0

c) 2x - y - 5 = 0

d) x - 2y + 2 = 0