Explanation:
Hey there!
The equation is; y= -3x
or, 3x+y = 0.......... (I)
From equation (I)
![slope(m1) = ( - coeff. \: of \: x)/(coeff. \: of \: y)](https://img.qammunity.org/2021/formulas/mathematics/high-school/18oieridixzenrxzyfoz7norprgvsy50h7.png)
![m1= ( - 3)/(1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/6btft5gwmzm1bt2xan6wraasm1yr71ihgg.png)
Therefore, m= -3
Now, As per the condition of perpendicular lines;
M1*M2 = -1
-3*M2 = -1
M2= -1/-3
Therefore, the slope of a line which is perpendicular to the equation is; 1/3.
Hope it helps...