A line passes through #(2 ,4 )# and #(7 ,3 )#. A second line passes through #(8 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?
1 Answer
Jun 1, 2016
It is
Explanation:
We start calculating the slope of the line passing by the first two points.
The generic question is
substituting the points we have
From the first equation I have
I substitute this value in the second equation
Now we know that all the lines with the same slope are parallels.
So the line passing by the third point has equation
Then the equation of the desired line is