Answer:
slope= -3
Step-by-step explanation:
firstly calculating the values of x and y for slopes.
-3/2x - 1/2y = 8
(-3x-y)= 8×2
-(3x+y) = 16
3x+y = -16
if x= -2
-6 + y = -16
y=-10
.: (x₁,y₁)=(-2,-10)
if x= -5
-15 + y = -16
y = -1
.: (x₂,y₂)=(-5,-1)
Using slope formula,
slope= (y₂-y₁)/(x₂-x₁)
slope = [-1-(-10)] / [-5-(-2)]
slope= [-1+10]/[-5+2]
slope= 9/(-3)
slope= -3
