Question

Please answer and explain (algebra II problem): -3/2x - 1/2y = 8 What is the slope?

Answer 1

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