Respuesta :

Answer:

See Explanation

Step-by-step explanation:

Missing in the question is the slope of line r.

We'll assume that the slope (m) of line r is

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

When two lines are perpendicular, their slope are related in:

[tex]m_2 = -1/m_1[/tex]

[tex]m_2 = -1/\frac{-1}{3}[/tex]

[tex]m_2 = -1 * -3[/tex]

[tex]m_2 = 3[/tex]

The equation of the (3,-6) is:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex](x_1,y_1) = (3,-6)[/tex]

So:

[tex]y - (-6) = 3(x - 3)[/tex]

[tex]y +6 = 3x - 9[/tex]

Make y the subject

[tex]y = 3x - 9 - 6[/tex]

[tex]y = 3x - 15[/tex]

Please note that this answer might be incorrect to you based on the assumed value. However, the step will guide you in solving similar questions