Question

If the point (k, -3) lies on the line 3x + 2y = 9, then find the value of k.
[2 Marks]

Answer 1

A point lies on a line if its coordinates satisfies the equation of the line.

Substitute the cordinates (k, -3) in the equation of line i.e.,
3x + 2y = 9
$\Rightarrow$ 3(k) + 2(-3) = 9
[1 Mark]

$\Rightarrow$ 3k = 15
$\Rightarrow$ k = 5
[1 Mark]