Mathematics: Find the distance from point a to the given line: a(-1, 7), y=3x how do i solve this?

l = (7x² + 3) m; w = 2x² m:3...

Find the distance from point a to the given line:

Ответ:

amourjenny

11.03.2022

Mathematics

he formula of a distance between a point (a, b)

and a line Ax + By + C = 0:

$d=\dfrac{|Aa+Bb+C|}{\sqrt{A^2+B^2}}$

We have the point A(-1, 7) → a = -1, b = 7

and the line y = 3x → 3x - y = 0 → A = 3, B = -1, C = 0.

Substitute:

$d=\dfrac{|(3)(-1)+(-1)(7)+0|}{\sqrt{3^2+(-1)^2}}=\dfrac{|-3-7|}{\sqrt{9+1}}=\dfrac{|-10|}{\sqrt{10}}=\dfrac{10\sqrt{10}}{\sqrt{10}\cdot\sqrt{10}}\\\\=\dfrac{10\sqrt{10}}{10}=\sqrt{10}$

d = √10

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Ответ:

spooderfaxy7813

09.05.2020

Mathematics

l = (7x² + 3) m; w = 2x² m

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Find the distance from point a to the given line: a(-1, 7), y=3x how do i solve this?

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