Question

For what value of k will the point (3, −k) lie on the line 9x + 4y = 3?

Answer 1

The given equation of the line is 9x + 4y = 3.

Put x = 3 and y = −k, we have:

9(3) + 4(−k) = 3

27 − 4k = 3

4k = 27 − 3 = 24

k = `24/4`

k = 6