Respuesta :

Step-by-step 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,

[tex]m1 \: \times m2 = - 1[/tex]

[tex]m1 \times \frac{1}{3} = - 1[/tex]

Simplifying them we get,

m1 = -3.

Therefore the slope is -3.

Hope it helps...