Consider the graph of the linear equation 2x-5y=10. the x-intercept is . the y-intercept is .. the slope

Slope-intercept form:

The equation of line is given by:

            ....[1]

where,

m is the slope and b is the y-intercept

Given the linear equation:

         .....[2]

Subtract 2x from both sides we have;

Divide by -5 to both sides we have;

On comparing with [1] we have;

Slope(m) =

y-intercept(b) = -2

To find x-intercept:

Substitute y = 0  in [2] and solve for x:

⇒2x = 10

Divide both sides by 2 we have;

x = 5

x-intercept = 5

Therefore:

The x-intercept is 5

The y-intercept is -2

The slope is

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

(23*2)-12=x     x=34

step-by-step explanation: