Examine the following graph of y=1/4x+2.
If the point (-4,b) is on this line, what is the value of b?

9/4

Step-by-step explanation:

The slope-intercept form is y = m x + b , where m is the slope and b is the y-intercept. y = m x + b Find the values of m and b using the form y = m x + b . m = 1/4 b = 2 The slope of the line is the value of m , and the y-intercept is the value of b . Slope: 1/4 y-intercept: 2 Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values. Choose 0 to substitute in for x to find the ordered pair. y = 2 Choose 1 to substitute in for x to find the ordered pair. Tap for fewer steps... Replace the variable x with 1 in the expression. f ( 1 ) = 1 4 + 2 Simplify the result. The y value at x = 1 is 9/4 . y = 9/4

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

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.