Math(word problem)
posted by anonymous on .
For the line joining points A(1, 3) and B(5, 7):
a.Find the midpoint of the line.
b.Find the distance of the line.
c.Find the slope of the line.
d.Find the yintercept of the line.
e.What would be the slope of a line perpendicular to this line?

GIVEN: A(1,3), B((5,7).
a. X = (1+5)/ 2 = 2.
Y = (3 + 7)/2 = 5.
Midpoint: (2,5).
b. d^2 = (5 + 1)^2 +(73)^2 = 36 + 16
= 52 d = sqrt (52) = 7.2.
c. Slope = (73) / (5 + 1) = 2/3.
d. Y = mX + b
3 = 2/3(1) + b, b = 3 2/3 = 11/3 =
y  int.
e. m2 = 3/2 = neg. reciprocal of m1.