What is the constant of variation k of the direct variation, y = kx through (-3, 2)?

Solution:

Linear equations are one of the most important concepts of mathematics. They are used to represent straight lines on the cartesian plane. Let's solve a problem related to linear equations.

In the question, if the point given passes through (x, y), then we substitute the values of the coordinates in the equation y = kx to find the value of k.

Therefore, (2) = (-3) × k.

Finally, k = -2/3.

Hence, the constant of variation k for y = kx through (-3, 2) is k = -2/3.

What is the constant of variation k of the direct variation, y = kx through (-3, 2)?

Summary:

The constant of variation k for y = kx through (-3, 2) is k = -2/3.