Question

for the inverse variation equation xy = k, what is the constant of variation, k, when x = -3 and y = -2? 6 -6 -\frac{2}{3} \frac{3}{2}

Explanation:

Step1: Identify the formula

The inverse variation equation is given as \( xy = k \). We need to find \( k \) when \( x = -3 \) and \( y = -2 \).

Step2: Substitute the values

Substitute \( x = -3 \) and \( y = -2 \) into the equation \( xy = k \). So we have \( (-3) \times (-2) = k \).

Step3: Calculate the product

Multiplying two negative numbers gives a positive result. So \( (-3) \times (-2) = 6 \), which means \( k = 6 \).

Answer:

6