what is the constant of variation, k, of the direct variation, y = kx, through (-3, 2)?\no k =…

what is the constant of variation, k, of the direct variation, y = kx, through (-3, 2)?\no k = -\\frac{3}{2}\no k = -\\frac{2}{3}\no k = \\frac{2}{3}\no k = \\frac{3}{2}

what is the constant of variation, k, of the direct variation, y = kx, through (-3, 2)?\no k = -\\frac{3}{2}\no k = -\\frac{2}{3}\no k = \\frac{2}{3}\no k = \\frac{3}{2}

Answer

Explanation:

Step1: Substitute x and y values

Given the point (-3, 2) and the equation y = kx, substitute x=-3 and y = 2 into the equation: 2=k\times(-3).

Step2: Solve for k

To find k, divide both sides of the equation 2 = - 3k by -3. So, k=\frac{2}{-3}=-\frac{2}{3}.

Answer:

k = -\frac{2}{3}