Answer:
2√5
Step-by-step explanation:
The formula for the distance between a point (x, y) and a line in general form, ax +by +c = 0 is ...
[tex]\text{distance}\,=\dfrac{|ax+by+c|}{\sqrt{a^2+b^2}}[/tex]
The general form of your equation for the line is ...
2x +y -6 = 0
so the distance to point (x, y) = (4, 8) is ...
[tex]\text{distance}\,=\dfrac{|2\cdot 4+8-6|}{\sqrt{2^2+2^2}}=\dfrac{10}{\sqrt{5}}=2\sqrt{5}[/tex]
The distance between the point and line is 2√5.
