Determine the line through two points in quadrant 1: For the line through (1,4) and (7,1), 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 (2,1) and (5,7), determine the equation in the general form Ax + By + C = 0.

a) 2x - y - 3 = 0

b) x - 2y + 9 = 0

c) 2x + y - 9 = 0

d) x - 2y + 3 = 0