Question

what is the slope of a line that passes thrught the origin and the point (-6,2)

Answer 1

hello?

Answer 2

-1/3

Answer 3

but how do u figure that out

Answer 4

Well the equation of a line is y-y1=m(x-x1) where y1 and x1 are the y and x coordinates and m is the slope.
The equation of the line that passes through origin (0,0) is y=mx and equation through
y-2=m(x+6), which simplifies to y=mx+6m+2.
These are 2 simultaneous equations.
y=mx and y=mx+6m+2
Subtract them from each other, gives:
[y=mx
y=mx+6m+2]
0=0+6m+2
so we are left with 6m+2=0
rearrange to find m.
6m=-2
m=-2/6
=-1/3.

Answer 5

the equations are both y=-1/3 x
when the m=-1/3 is substituted.Check for yourself.
Hope this helps

Answer 6

thx soo much!!!