Respuesta :

ANSWER

[tex]y = \frac{10}{3} x - 18[/tex]

EXPLANATION

The given line has slope

[tex]m_{1} = - 0.3[/tex]

The line that is perpendicular to this line has a slope that is the negative reciprocal of -0.3

[tex]m_2 = \frac{ - 1}{ - 0.3} [/tex]

[tex]m_2 = \frac{10}{ 3} [/tex]

If the line e passes through (3,-8), then the equation is given by,

[tex]y - - 8 = \frac{10}{3} (x - 3)[/tex]

[tex]y = \frac{10}{3} x - 10 - 8[/tex]

[tex]y = \frac{10}{3} x - 18[/tex]