Question

If y=-12 when x = 9, find y when x = -4.

Answer 1

Let's look at ratios

When y = -12 and x = 9

we have an y to x ratio of -12/9, or -4/3 when simplified

so, if we set -4/3 = y/-4, we get y as 16/3

Hence,

y as 16/3

Answer 2

`y = (16)/(3)`

Explanation:

To find the value of y when x = -4, we can use ratios.

The given ratio is x : y = 9 : -12, and we want to find y when x = -4.

So, set up a proportion using the given and unknown values:

`(9)/(-12) = (-4)/(y)`

Cross-multiply:

`9y=-4(-12)`

`9y=48`

Divide both sides by 9:

`y=(48)/(9)`

Reduce the fraction to its simplest form by dividing the numerator and denominator by the common factor 3:

`y=(48/ 3)/(9/ 3)=(16)/(3)`

So, when x = -4, the value of y is:

`\Large\boxed{\boxed{y = (16)/(3)}}`