Question

For what value of k does the line represented by the equation 1-kx = -3y contain the point (4,-3)?

Answer 1

k = -2

Explanation:

Given equation

1-kx = -3y

point on this line = (4,-3)

If point lies on the given line, then if we plug in the value (4,-3), then it will satisfy the equation

1-kx = -3y

using x = 4 and y = -3

1-k*4 = -3*-3

1 - 4k = 9

=> -4k = 9 -1 = 8

=> k = 8/-4 = -2

Thus, value of k is -2