Find an equation for the line with the given properties.

Perpendicular to the line y = -3x - 2; containing the point (-2, 3)

Respuesta :

Answer:

-x + 3y = 11.

Step-by-step explanation:

A line perpendicular will have the slope -1 / -3 = 1/3.

Using the point slope form:

y - y1 = m(x - x1)        where m = the slope and (x1, y1) is a point on the line, so:

y - 3 = 1/3(x - -2)     Multiply through by 3:

3y - 9 = x + 2

-x + 3y = 2 + 9

-x + 3y = 11.