A line passes through #(4 ,9 )# and #(7 ,4 )#. A second line passes through #(8 ,7 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
Aug 7, 2016
Explanation:
As the two lines are parallel they both have the same gradient.
gradient (slope)
Let point 1 be
Let point 2 be
Let point 3 be
For the first line reading left to right
So gradient is
Thus the gradient is
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Thus equation for the second line
This passes through the point
Thus the equation of the second line is: