Write in equation of the line containing the points (-8,-8) and (-9,-10

y = 2x + 8

Step-by-step explanation:

Find the slope of a line between (-8,-8) and (-9,-10) using m = , which is the change in y over the change in x.

Substitute in the values of x and y into the equation to find slope.

Simplify.

Simplify the numerator.

Multiply -1 by -8

Add -10 and 8

Simplify the denominator.

Multiply -1 by -8

Add -9 and 8.

Divide -2 by -1.

Using the point slope form plug in m = 2,

Solve for y.

Multiply -1 by -8

y + 8 = ( 2 ) ( x − ( − 8 ) )

Simplify  ( 2 ) ( x − ( − 8 ) ) .

Multiply  − 1  by  − 8

y+8 = 2 ( x + 8 )

Apply the distributive property.

y + 8 = 2 x + 2 ⋅ 8

Multiply  2  by  8 .

y + 8 = 2x + 16

Move all terms not containing  y  to the right side of the equation.

Subtract  8  from both sides of the equation.

y = 2 x + 16 − 8

Subtract  8  from  16 .

y = 2 x + 8

the graph on the bottom right

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2