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

Therefore,

So, the equation of the line is