is a triangle in which , , and ,
where is the midpoint of , and , where intersects
at . Find the equation of the straight line in the form of .
First, find the coordinates of .
For any 2 points and , the coordinates of the midpoint of the line joining the points are
is the midpoint of , so substituting the coordinates of and in the above gives us the coordinates of .
Next find the slope of .
We know that the slope, , of a line passing through 2 points and is given by
We know that , so we can find their slope by substituting the coordinates of and in the above.
Then find the equation of .
For straight line graphs,
where is the slope and is the -intercept.
The slope is 1 and the coordinates of satisfy the equation
So, the equation of the line is