Linemhasaslopeof

Question

2
9
.Linenhasaslopeof
–2
9
. Are
linemandlinenparallelorperpendicular?

Answer 1

To determine whether the two lines are parallel or perpendicular, we can compare their slopes.

1. The first line has a slope of $\frac{2}{9}$.
2. The second line has a slope of $-\frac{2}{9}$.

Parallel Lines: Two lines are parallel if their slopes are equal. In this case, $\frac{2}{9}$ is not equal to $-\frac{2}{9}$, so the lines are not parallel.

Perpendicular Lines: Two lines are perpendicular if the product of their slopes is $-1$.

Let's check the product of the slopes:

$$\left(\frac{2}{9}\right)\times (-\frac{2}{9})=-\frac{4}{81}$$

Since $-\frac{4}{81}\ne -1$, the lines are also not perpendicular.

In conclusion: The lines are neither parallel nor perpendicular.