y=9(x+2) is that an linear or not an linear?

1 answer

The equation \( y = 9(x + 2) \) is a linear equation.

To determine this, you can rewrite it in the standard linear form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Starting with the original equation:

\[ y = 9(x + 2) \]

Distributing the 9:

\[ y = 9x + 18 \]

This is now in the form \( y = mx + b \), where \( m = 9 \) (the slope) and \( b = 18 \) (the y-intercept).

Since it can be expressed in this linear form, it confirms that the equation represents a linear relationship.