Determine the line through points in quadrants 2 and 4: For the line through (-3,1) and (5,-3), 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 (-1,3) and (5,-3), determine the equation in the general form Ax + By + C = 0.

a) x + y - 4 = 0

b) x + y -2 = 0

c) x - y - 4 = 0

d) x - y + 4 = 0