Answer:
The "x" intercept is a point with coordinates [tex](-\frac{4}{9},0)[/tex].
Step-by-step explanation:
In order to solve this, we need to know that the "x" intercept is the point where the line touches the x-axis, therefore this point will have the "y" coordinate equal to 0. Knowing this, we can substitute "y" with 0 and find the "x" coordinate of the "x" intercept. So we do...
[tex]y = -\frac{9}{2} x - 2\\\\0 = -\frac{9}{2} x - 2\\\\\frac{9}{2} x = - 2\\\\\\x = - \frac{4}{9}[/tex]
Therefore, the "x" intercept is a point with coordinates [tex](-\frac{4}{9},0)[/tex].
