Algebra Examples

$(- 2, - 6)$

Step 1

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(- 2, - 6)$ , draw the triangle between the three points $(0, 0)$ , $(- 2, 0)$ , and $(- 2, - 6)$ .

Opposite : $- 6$

Adjacent : $- 2$

Step 2

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{- 6}{- 2}$ .

$\frac{- 6}{- 2}$

Step 3

Divide $- 6$ by $- 2$ .

$\tan (θ) = 3$