Answer:
x-y=3
Step-by-step explanation:
The intercept form of a line is given as
[tex]\frac{x}{a}+\frac{y}{b}=1\\[/tex]
Where a and b are the x intercept and y intercept respectively.
In this case we can see from the graph that a = 3 and b =-3
Now we substitute the values of a and b in above equation ,
[tex]\frac{x}{3}+\frac{y}{-3}=1\\[/tex]
Multiplying both sides and each term by 3 we get
[tex]\frac{x}{3}*3+\frac{y}{-3}*3=1*3\\[/tex]
[tex]x-y=3[/tex]
Hence this is our equation to the above graph.
Part 2 :
Given that x and y intercepts are 0 , in that case the line passes through 0 . Therefor our correct option is D.