# The equation of the function h is h... PLEASE HELP MATH

Answer:

Part A)

Part B) The distance between the y-intercepts is equal to 4 units

Part C) The value of h(x) will always be greater than the value of m(x) for any value of x

Step-by-step explanation:

Part A) What is the value of h(4) -m(16)

we have

For x=4

Find the equation of the line m(x)

Find the slope

take the points

(8,2) and (12,4)

The formula to calculate the slope between two points is equal to

substitute

Find the equation of the line in slope intercept form

we have

substitute

solve for b

therefore

Find m(16)

so

Part B) we know that

The y-intercept is the value of y when the value of x is equal to zero

Find the y-intercept of h(x)

For x=0

Find the y-intercept of m(x)

For x=0

therefore

The distance between the y-intercepts is equal to 2-(-2)=4 units

Part C)

Graph both equations

using a graphing tool

see the attached figure

The value of h(x) will always be greater than the value of m(x) for any value of x

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