Since y varies directly with x, we know that a multiplier of k will be multiplied by x.
y = kx
In order to use this equation we need to know the value of k. That is why they gave us known values of x & y.
"when y = –51, x = 3"
Plug these values into our equation and solve for k.
–51 = k(3)
–51/3 = k Divide both sides by 3
k = –17 Simplify
Now that we know k our equation from here on is:
y = –17x
Now we can use this equation to solve y if x = 2 by plugging in 2 for x.
y = –17(2)
y = –34 FINAL ANSWER
