Can someone me with this question? i'm having some trouble. you!

Slope = 4

Step-by-step explanation:

So first you need to find out what the coordinate points are, which are, (0, 0) and (1, 4). To find slope, you would use the equation, y2 - y1 / x2 - x1. You will need to subtract y2 from y1 first. That would be 4 - 0 which equals 4. Then you find x2 - x1, which is 1 - 0. And the answer to that would just be 1. So you should have 4/1, but since that 1 doesn't necessarily matter, you can just take it away. So the slope would be 4.

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