The correct equation 2x + 3y = 6 is equivalent to in polar coordinates [tex]\rm r = \dfrac{6}{2 cos \phi + 3 sin \phi}[/tex].
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
2x + 3y = 6 is an equation.
Putx = r cos∅, and y = r sin∅
put in equation2
(r cos∅) + 3 (r sin∅) = 6
Take r common
r (2 cos∅ + 3 sin∅) = 6
Apply divide rule
[tex]\rm r = \dfrac{6}{2 cos \phi + 3 sin \phi}[/tex]
Thus the equation in polar coordinate is [tex]\rm r = \dfrac{6}{2 cos \phi + 3 sin \phi}[/tex].
More about the linear system link is given below.
https://brainly.com/question/20379472
