Write the equation of the line that is perpendicular to the line x-3y=2 and passes through the point (0,4).

-3y = -x + 2

y = (-1/3)x - 2/3

perp.: 3

y - 4 = 3(x - 0)

y - 4 = 3x - 0

y= 3x + 4

or (5.5,5)

Step-by-step explanation:

midpoint formula :

where (x1,y1) and (x2,y2) are the two given points.

We want to find the midpoint of A and B where A has coordinates of (8,2) and B has coordinates of (3,8)

To do so we simply plug in the x and y values of the coordinates into the formula

Note that (x1,y1) = (8,2) so x1 = 8 and y1 = 2

and

(x2,y2) = (3,8) so x2 = 3 and y2 = 8

Recall the midpoint formula

We have x1 = 8, y1 = 2, x2 = 3 , y2 = 8

* plug in values into formula *

add 8 and 3 , and 2 and 8

reduce fractions

The midpoint would be at (11/2,5) or (5.5,5)