Answer:
y = [tex]$ \frac{1}{2} $[/tex]x - 3
Step-by-step explanation:
Let the general equation of the line be y = ax + b
Note that the points (6,0) and (0,-3) lie on the line. That means, it should satisfy the equation of the line. We substitute the points on the equation of the line.
We would have:
[tex]$ 0 = 6a + b \hspace{25mm} ...(1) $[/tex]
[tex]$ -3 = a(0) + b \hspace{20mm} ....(2) $[/tex]
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
