Question

Use function notation to write the equation of the line.

Answer 1

Given:

Graph of the of a line.

To find:

The equation of the line

Solution:

Take any two points on the line.

Let the points are (0, -2) and (3, 0).

Slope of the line formula:

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

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

`$m=(2)/(3)`

y-intercept of the line is (0, -2).

c = -2

General equation of a line:

y = mx + c

Substitute the values.

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

Let y = f(x).

`$f(x)=(2)/(3)x-2`

The equation of a line is
`f(x)=(2)/(3)x-2`.