What is the slope of the line that passes through the points (10,8) and (-15,18)?
Write your answer in simplest form.

The slope of the line passing through the given points (10, 8) and (-15, 18) is .

Given the following points:

To find the slope of the line passing through the given points (10, 8) and (-15, 18):

The slope of a line is the gradient of a line and it represents both the direction and steepness of an equation of a straight line.  

Mathematically, the slope of a line is calculated by using this formula;

Substituting the points into the formula, we have;

Therefore, the slope of the line passing through the given points is .

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-2/5

Step-by-step explanation:

We can find the slope form the following

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

   = (18 -8)/(-15 - 10)

   10 / -25

   -2/5

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12