Line 1 passes through the points (4, 6) −− and (12,2). Line 2 passes through the points (6, 2 ) −− and (2,0 ) − . Do the lines intersect?

Question

Directions: Complete the following steps on a separate sheet of paper. Be sure to show all of your work:

Answer 1

just calculate the slope of each line
Line 1 has slope -1/2
Line 2 has slope 1/2
since the slopes are different, the lines are not parallel.
So, they must intersect.

Of course, you could just plot the points, draw the lines, and extend them to see that they intersect.

Answer 2

@oobleck, is their a possible equation?

Answer 3

for each line of course