Question

the value of y varies directly with x, and y = 3 when x = -1. what is y when x = -3? y = ? remember: y = kx

Explanation:

Step1: Find constant k using y=kx

Substitute $y=3$, $x=-1$ into $y=kx$:
$3 = k(-1)$
Solve for $k$: $k = \frac{3}{-1} = -3$

Step2: Write direct variation equation

Substitute $k=-3$ into $y=kx$:
$y = -3x$

Step3: Calculate y when x=-3

Substitute $x=-3$ into $y=-3x$:
$y = -3(-3)$

Answer:

9