Explanation:
Hey there!!!
Here,
The point is, (-3,1).
Using one point formula.
(y-1)= m(x+3)....1st equation.
It has said that it is also perpendicular to the line y = 1/3x + 2 .......2nd equation.
Now, the equation with y = mx + c.
We get slope (m2) = 1/3.
Now,
As per the condition of perpendicular lines,
![m1 \: * m2 = - 1](https://img.qammunity.org/2021/formulas/mathematics/high-school/qeqvuyl5w7nedinz6qx1ail02yjyawi63b.png)
![m1 * (1)/(3) = - 1](https://img.qammunity.org/2021/formulas/mathematics/high-school/akhfj2wbq7p17qrgfohm01x0t2g90i6yni.png)
Simplifying them we get,
m1 = -3.
Therefore the slope is -3.
Hope it helps...