Question

Question 5
If the following points are from a direct variation, find the missing value.
(-3, y) and (-18, 12)

Answer 1

Answer:

The missing value is 2

Step-by-step explanation:

A direct variation satisfies the equation $y=kx$.

Since the point (-18, 12) lies on this line, it must satisfy this equation.

$\implies 12=-18k$

$k=-\frac{12}{18} =-\frac{2}{3}$

Hence the equation of this line is $y=-\frac{2}{3}x$

Now we substitute x=-3 to find y.

$y=-\frac{2}{3}*-3=2$

Therefore the missing value is 2