Question

what is the slope of the line that passes through the pair of points
(-6,-1), (0,-9)
i need help .!!

Answer 1

would you be able to tell the slope of a line that passes thru the origin and a given point (a,b)?

Answer 2

if so, then i would suggest moving these points so that one of them is at the origin ...

Answer 3

ok

Answer 4

do you agree that moving points, does not change the slope between them?

what we do to one point, we do to the other

(-6,-1) (0,-9)
+9 +9
------ ------
(-6, 8) (0 , 0)

Answer 5

now we simply can read the slope off the nonzeroed point. -8/6 and reduce

Answer 6

in general, if we have to point (xo,yo) and (x1,y1)

(xo,yo) (x1,y1)
-xo-yo -xo -yo
----- -------
0,0 x1-xo , y1-yo

slope between them is

y1-yo
----- ; which is exactly how the slope formula is defined
x1-xo