Final answer:
To find the value of 'm' in an inverse variation for the given points (6,4) and (3,m), we use the constant product property to solve for m, which results in m = 8.
Step-by-step explanation:
The question asks to find the value of m in an inverse variation that includes the points (6,4) and (3,m). In an inverse variation, the product of the x and y coordinates for each point on the graph remains constant. Therefore, we can find the value of m by setting up the equation 6 × 4 = 3 × m and solving for m.
To solve for m, we follow these steps:
- Multiply 6 and 4 to get 24 (the constant of variation).
- Divide 24 by 3 to find the value of m.
- So, m = 24 / 3 = 8.
The value of m is 8, meaning the point (3, m) is actually (3, 8).