What is an equation of the line that passes through the points (5,5) and (-5,-7)?

Please the answer in fully reduced form.

y=6/5x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-5)/(-5-5)

m=-12/-10

simplify

m=6/5

y-y1=m(x-x1)

y-5=6/5(x-5)

y=6/5x-30/5+5

y=6/5x-6+5

y=6/5x-1

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)