Question

BRAINLIEST!!!

Answer 1

Answer:

$\sqrt{37}$

Step-by-step explanation:

The distance d between a point (m , n ) and a line in the form

Ax + By + C = 0 , is calculated as

d = $\frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }$

Here (m, n ) = (6, 2 ) and

6x - y = - 3 ( add 3 to both sides )

6x - y + 3 = 0 → A = 6, B = - 1, C = 3

d = $\frac{|6(6)+-1(2)+3|}{\sqrt{6^2+(-1)^2} }$

   = $\frac{|36-2+3|}{\sqrt{36+1} }$

   = $\frac{|37|}{\sqrt{37} }$

   = $\frac{37}{\sqrt{37} }$ × $\frac{\sqrt{37} }{\sqrt{37} }$

   = $\frac{37\sqrt{37} }{37}$ ← cancel 37 on numerator/ denominator

   = $\sqrt{37}$