A line passes through #(6 ,5 )# and #(8 ,3 )#. A second line passes through #(0 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?
The equation of the second line is:
If the two lines are parallel then they have the same gradient (slope).
For the first line:
Let point 1 be
Let point 2 be
For the second line:
Let point 3 be
For both lines:
Let the gradient (slope) be
The standard form equation for a straight line is:
We know that this line passes through the point
So the value of the coordinates for