A line passes through #(4 ,3 )# and #(2 ,6 )#. A second line passes through #(1 ,8 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
Jun 19, 2018
Explanation:
If two lines are parallel then their gradients are the same.
Gradient of line passing through points
Let
Then:
The line passing through point
Equation of this line using point slope form:
So another point on the line passing through point
We could express this as.
For a specific value, we could choose
co-ordinates:
PLOT: