Answer:
-2
Step-by-step explanation:
Given that:
A = (3, 4) ; B = (7, 6)
In triangle ABCD, AB and BC are Perpendicular lines :
Slope AB = Rise / Run = (y2 - y1) / (x2 - x1)
y2 = 6 ; y1 = 4 ; x2 = 7 ; x1 = 3
Slope AB = (6 - 4) / (7 - 3) = 2 / 4 = 1 / 2
To obtain the slope of BC:
RECALL:
product of the slope of 2 Perpendicular lines = - 1
Slope AB * Slope BC = - 1
1 / 2 * slope BC = - 1
Slope BC = - 1 ÷ 1/2
Slope BC = - 1 * 2/1
Slope BC = - 2
HENCE, slope of BC = - 2
