Geometry Homework Question

Question

Tell whether the lines through the given points are parallel,  perpendicular, or  neither.

Line 1:  (1,0) , (7,4)

Line 2:  (7,0) , (3,6)

The slope of line 1 is (Blank)

The slope of line 2 is (blank)

The two lines are (blank)

Answer 1

Line 1: (1,0) , (7,4)

Slope = (y2-y1)/(x2-x1)

(4-0)/(7-1) = 4/6 = 2/3

Line 2: (7,0) , (3,6)

Slope = (y2-y1)/(x2-x1)

(6-0)/(3-7) = 6/-4 = -3/2

(2/3)(-3/2) = -1, the lines are perpendicular