Option (A) y =
x
Step-by-step explanation:
Since all the options given in the question are of a linear function so we will find equation of a line in the form of
y = mx + c
Since this line is passing through origin ( 0,0) so c or y - intercept will be zero.
So equation will be y = mx
Now this line passes through ( -3, -2 ) and ( 0,0 ).
So slope of the line ![m=\frac{y-y'}{x-x'}](/tpl/images/0416/8169/d44be.png)
= ![\frac{(-2-0)}{(-3-0)}](/tpl/images/0416/8169/85aca.png)
= ![\frac{(-2)}{(-3)}](/tpl/images/0416/8169/ea2e9.png)
= ![\frac{2}{3}](/tpl/images/0416/8169/d1391.png)
Equation is y =
x
Option (A) is the answer.