Question

find the x - and y -intercepts of the graph of the linear equation -6x + 9y = -18.

Explanation:

Step1: Find x - intercept

Set \(y = 0\) in the equation \(-6x+9y=-18\).
\(-6x+9\times0=-18\), which simplifies to \(-6x=-18\).
Dividing both sides by \(-6\), we get \(x = 3\).

Step2: Find y - intercept

Set \(x = 0\) in the equation \(-6x + 9y=-18\).
\(-6\times0+9y=-18\), which simplifies to \(9y=-18\).
Dividing both sides by \(9\), we get \(y=-2\).

Answer:

The x - intercept is 3 and the y - intercept is - 2.