A line passes through #(3 ,6 )# and #(4 ,7 )#. A second line passes through #(7 ,3 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
Mar 26, 2016
Explanation:
The slope
#m = (y_2-y_1)/(x_2-x_1) = (7-6)/(4-3) = 1/1 = 1#
So a line through
#y - y_0 = m(x - x_0)#
That is:
#y - 3 = 1(x - 7)#
Which we can rearrange in slope intercept form as:
#y = 1x-4#
Putting
So the second line passes through