Question

A triangle has vertices P(1, 3), Q(3, 5), and R(6, 2).
The slope of the median to QR is
a. 1/7
b. -1/2
c. 1
Can you lead me through the steps cuz i don't get how to do...?

Answer 1

Hello,

M, middle of [QR] has as coordinate (9/2,7/2)

The slope of the line PM is (3-7/2)/(1-9/2)=(-1/2) / (-7/2)=1/7.

Just as you found ! 

Answer 2

Answer:

The slope of the median to QR is 1/7

Step-by-step explanation:

A triangle has vertices P(1, 3), Q(3, 5), and R(6, 2).

To find the slope of the median to QR is

Mid point of QR is $(\frac{x1+x2}{2} , \frac{y1+y2}{2})$

Q(3, 5), and R(6, 2)

$(\frac{3+6}{2} , \frac{5+2}{2})$

$(\frac{9}{2} , \frac{7}{2})$

Now we find the slope using mid point (9/2, 7/2) and vertex (1,3)

slope = $\frac{y2-y1}{x2-x1} =\frac{3-\frac{7}{2}}{1-\frac{9}{2}} =\frac{1}{7}$