Suppose the y varies directly with x and y=8 when x=-6 what direct variation equation relates x and y what is the value of y when x=-2

A. Y=-0.75x,1.50
B. Y=-1.33x,2.67
C. y=1.33x,2.67
D. Y=0.13x, -0.25

B

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition that y = 8 when x = - 6, thus

k = = = - ≈ - 1.33

y = - x ← equation of variation

When x = - 2, then

y = - × - 2 = ≈ 2.67

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)