we are given
x-intercept is 3
so,
a=3
y-intercept is 2
b=2
now, we can intercept formula of line
[tex] \frac{x}{a} +\frac{y}{b}=1 [/tex]
now, we can plug
a=3 and b=2
[tex] \frac{x}{3} +\frac{y}{2}=1 [/tex]
now, we will get rid of denominators
so, we can multiply both sides by 6
[tex] 6*\frac{x}{3} +6*\frac{y}{2}=6*1 [/tex]
[tex] 2x +3y=6 [/tex]
we can also write it as
[tex] 3y-6=-2x [/tex]
so, option-D..................Answer
