Find the Tangent (5,-4)

$(5, - 4)$

To find the $\tan (θ)$ between the x-axis and the line between the points $(0, 0)$ and $(5, - 4)$ , draw the triangle between the three points $(0, 0)$ , $(5, 0)$ , and $(5, - 4)$ .

Opposite : $- 4$

Adjacent : $5$

$\tan (θ) = \frac{Opposite}{Adjacent}$ therefore $\tan (θ) = \frac{- 4}{5}$ .

$\frac{- 4}{5}$

Move the negative in front of the fraction.

$\tan (θ) = - \frac{4}{5}$

Approximate the result.

$\tan (θ) = - \frac{4}{5} \approx - 0.8$

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