The line graph shows a direct variation with a unit rate of 1.4. two of the points the line passes through are (5, 7) and (10, 14).

what is the slope of the line?

slope of the line is m=

Step-by-step explanation:

Step 1:-

The slope of the given line

step 2:-

m = frac{7}{5}[/tex]

slope = 7/5

Step-by-step explanation:

The line graph is a straight line graph. Two of the points the line passes through are (5, 7) and (10, 14).

The slope, m of the graph is expressed as

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis).

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

y2 represents final value of y = 14

y1 represents initial value of y = 7

x2 represents final value of x = 10

x1 represents initial value of x = 5

Therefore,

Slope = (14 - 7)/(10 - 5) = 7/5

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya