Math problems suck. can someone me out?

y = 1/3 x +2

Step-by-step explanation:

y = -3x+7

This is in the form y= mx +b so the slope is m which is -3

We want a line the is perpendicular so the new slope is the negative reciprocal

m new = - (-1/3) = 1/3

We have the slope and a point, so we can use point slope form

y-y1 = m(x-x1)

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

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

Distribute the 1/3

y-1 = 1/3 x +1

Add 1 to each side

y-1+1 = 1/3x+1+1

y = 1/3 x +2

This is in slope intercept form

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)