ABC has the following co-ordinates: A(3,7)B(-1,-6) and C(-5,3). Determine the equation of the median from vertex C.
This question is giving me a bit of trouble. If someone could please help me out i would greatly appreciate it.
ABC has the following co-ordinates: A(3,7)B(-1,-6) and C(-5,3). Determine the equation of the median from vertex C.
This question is giving me a bit of trouble. If someone could please help me out i would greatly appreciate it.
Part the First, find the coordinates of midpoint: By definition, the median from vertex is a line which joins the midpoint of side . But by the midpoint formula the midpoint of is . Thus, the median passes through points and .Originally Posted by Scott9909
Part the Second, find the equation of median: Using the slope-point formula which states that the equation of a line passing through point having slope is . Thus, the slope of is . Thus, the equation of line is (use any point for )
Open and simplify,
Q.E.D.
Im a bit confused on part 2.
Do you have to find the slope of the line? Im not furmilur with the formula you put up. Ive been taught to do it Y=X2-X1/Y2-y1
and i dont seem to be getting the same slope.
Hello,Originally Posted by Scott9909
you've got the answer to your problem already. I'll give you only a few additional informations:
1. If you have 2 points with the coordinates then you'll get the midpoint
2. A line through 2 points is described completely by the following equation:
Solve this equation for y and you'll get: where is the slope of the line.
I hope that these additional remarks helped a little bit.
Greetings
EB