The function with a rate of change of 4/5 that has a value of 10 at x=10

y = x + 2

Step-by-step explanation:

Assuming you require the equation of the function.

The slope m is a measure of the rate of change of the function.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = , thus

y = x + c ← is the partial equation

To find c substitute (10, 10) into the partial equation

10 = 8 + c ⇒ c = 10 - 8

y = x + 2 ← equation of function

where r the answers

step-by-step explanation:

step-by-step explanation:

let

we know that

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

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is