Answer :
Answer:
[tex]\sqrt{37}[/tex] units
Step-by-step explanation:
If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.
We know the formula of length of perpendicular from a point [tex](x_{1}, y_{1} )[/tex] to the straight line ax + by + c = 0 is given by
[tex]\frac{|ax_{1} + by_{1} +c |}{\sqrt{a^{2}+b^{2}}}[/tex]
Therefore, in our case the perpendicular distance is
[tex]\frac{|6(6)-2+3|}{\sqrt{6^{2} +(-1)^{2} } } = \frac{37}{\sqrt{37} } = \sqrt{37}[/tex] units. (Answer)