kenroypalmer26 kenroypalmer26
  • 10-09-2017
  • Mathematics
contestada

triangle PQR hAS vertices P (4,-1),Q(-2,7), and R (9,9). find an equation of the median from R

Respuesta :

meerkat18
meerkat18 meerkat18
  • 22-09-2017
A median intersects at the midpoint of the opposite length. The midpoint is:

x,m = (4+-2)/2 = 1
y,m = (-1+7)/2 = 3

The midpoint is at (1,3). With this point and point R(9,9), the equation would be:

y = mx + b, where
m = (9 - 3)/(9 - 1) = 0.75
b is the y-intercept
Substituting any point,
3 = 0.75(1)+b
b = 2.25

Thus, the equation for the median is:

y = 0.75x + 2.25
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