Find the equation, in slope-intercept form, of the line through the pair of points (1,2) (3,4)

The equation of the line would be y = x + 1

Step-by-step explanation:

To find the equation of that line, we first need to find the slope. We can do this by using the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - 2)/(3 - 1)

m = 2/2

m = 1

Now using this and a point, we can use point-slope form to get the equation.

y - y1 = m(x - x1)

y - 2 = 1(x - 1)

y - 2 = x - 1

y = x + 1

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.