Question

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?

Answer 1

`y+1=(1)/(3)(x+2)` - point-slope form

`f(x)=(1)/(3)x-(1)/(3)` - function notation

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=(y_2-y_1)/(x_2-x_1)`

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

Substitute:

`m=(0-(-1))/(1-(-2))=(1)/(3)`

`y-(-1)=(1)/(3)(x-(-2))`

`y+1=(1)/(3)(x+2)` - point-slope form

`y+1=(1)/(3)(x+2)` use the distributive property

`y+1=(1)/(3)x+(2)/(3)` subtract 1 = 3/3 from both sides

`y=(1)/(3)x-(1)/(3)`

Answer 2

1. 3rd option

2. 2nd option

Explanation: