The distance from the origin to the line 4x+3y+6=0 is:

Correct option is C

Given: The equation of the line is 4x + 3y + 6 = 0.
Formula Used: The distance from a point (x₁, y₁) to the line Ax + By + C = 0 is given by:
Distance = $$\frac {|Ax₁ + By₁ + C| } {\sqrt {A² + B²}}$$​​

Solution:
On comparing with the standard equation,
A = 4, B = 3, C = 6, and the point (x₁, y₁) = (0, 0).
​$$\text{Distance} = \frac{|(4)(0) + (3)(0) + 6|}{\sqrt{4^2 + 3^2}} \\= \frac{|6|}{\sqrt{16 + 9}} \\= \frac{6}{\sqrt{25}} \\= \frac{6}{5} { units.}$$​​