Question

Find y so that the length of the segment joining P(-2, 1) and Q(3, y) is square root of 34.

Answer 1

Answer on Question #56372 - Math - Analytic Geometry

Find $y$ so that the length of the segment joining $P(-2, 1)$ and $Q(3, y)$ is square root of 34.

Length of the segment is $L = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$, respect to $P, Q$:

$$\sqrt{34} = \sqrt{(3 - (-2))^2 + (y - 1)^2}$$ $$34 = 25 + (y - 1)^2$$ $$y - 1 = \pm 3$$

Then, $y = 4$ or $y = -2$

Answer: $y = 4$

$$y = -2$$

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