A line is drawn through (-7, 11) and (8, -9). The equation
y-11 = - 4 (x + 7) is written to represent the line. Which
equations also represent the line? Check all that apply.
y=-=4x+ şi
3y=-4x + 40
4x + y = 21
4x + 3y = 5
0 -4x + 3y = 17

Step-by-step explanation:

we have the points

(-7, 11) and (8, -9)

Find the slope

The formula to calculate the slope between two points is equal to

substitute

Simplify

Write the equation in point slope form

we have

substitute

Convert to standard form

we have

Multiply by 3 both sides

Convert to slope intercept form

we have

Isolate the variable y

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

i do not know the answer

step-by-step explanation: