Question

Find the equation of the line. Use exact numbers.

Answer 1

y =
`$ (1)/(2) $`x - 3

Explanation:

Let the general equation of the line be y = ax + b

Note that the points (6,0) and (0,-3) lie on the line. That means, it should satisfy the equation of the line. We substitute the points on the equation of the line.

We would have:

`$ 0 = 6a + b \hspace{25mm} ...(1) $`

`$ -3 = a(0) + b \hspace{20mm} ....(2) $`

From (2), we get: b = -3

From (1), we have -6a = b

Substituting b = -3, we get:

-6a = -3

⇒ a = 1/2

Therefore, the equation of the line would become: y = 1/2x - 3