Mathematics: 20 points! use the graph of the line to answer the questions. 1. what is an equation of the line in point-slope form? 2. how can the point-slope form be written in function notation?

Use the function f(x)=x2-2x+8 and the graph of g(x) to determine the difference betw een the maximum value of g(x) and the minimum value of f(x)....

20 points! use the graph of the line to answer

pnhandley01

12.03.2022

$y+1=\dfrac{1}{3}(x+2)$ - point-slope form

$f(x)=\dfrac{1}{3}x-\dfrac{1}{3}$ - function notation

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have the points (-2, -1) and (1, 0).

Substitute:

$m=\dfrac{0-(-1)}{1-(-2)}=\dfrac{1}{3}$

$y-(-1)=\dfrac{1}{3}(x-(-2))$

$y+1=\dfrac{1}{3}(x+2)$ - point-slope form

$y+1=\dfrac{1}{3}(x+2)$ use the distributive property

$y+1=\dfrac{1}{3}x+\dfrac{2}{3}$ subtract 1 = 3/3 from both sides

$y=\dfrac{1}{3}x-\dfrac{1}{3}$

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