Please help I am so confused...

Question:

supposed that y is directly proportional to x.

a) use the given info to find constant of proportionally k.

b) then use y=kx to find y for x=6

y= -62 when x=5

Please help.. thank you

this is all I have so far. not sure if I am correct.

y=kx

-62= k*(5)
but then how do I solve for k?

-62= k*(5)

divide both sides of your equation by 5
-62/5 = k
k = -12.4

now if x = 6
y = -12.4 * 6
y = -74.4

Thank you so much! Now I undersand .. :)

Y=74.4

To solve for the constant of proportionality, k, you can use the given information: "y is directly proportional to x." This means that the ratio of y to x should always be the same.

Let's use the equation you've written: -62 = k*(5)

To solve for k, divide both sides of the equation by 5:
(-62)/5 = k*(5)/5
-12.4 = k

So, the constant of proportionality, k, is equal to -12.4.

Now that we have found k, we can use the equation y = kx to find the value of y when x = 6.

Substituting the values into the equation, we have:
y = (-12.4)*(6)
y = -74.4

Therefore, when x = 6, y is equal to -74.4.